Question 1 of 101

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Let the cost price be $C$. \begin{align*} & 0.9\times (100\%+35\%)C-50 = 380+C\\ & C = \$ 2000 \end{align*}

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The lowest common multiple of 8, 10, 12, 16, 24 is 240. \begin{align*} \frac{8}{7} &= \frac{240}{210} \\ \frac{10}{11} &= \frac{240}{264} \\ \frac{12}{13} &= \frac{240}{260} \\ \frac{16}{17} &= \frac{240}{255} \\ \frac{24}{23} &= \frac{240}{230} \end{align*}

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The lowest common multiple of 8, 12, 15, 16, 30 is 240. \begin{align*} \frac{8}{7} &= \frac{240}{210} \\ \frac{12}{11} &= \frac{240}{220} \\ \frac{15}{13} &= \frac{240}{208} \\ \frac{16}{17} &= \frac{240}{255} \\ \frac{30}{29} &= \frac{240}{232} \end{align*}

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The lowest common multiple of 8, 12, 15, 16, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{12}{11} &= \frac{480}{440} \\ \frac{15}{13} &= \frac{480}{416} \\ \frac{16}{17} &= \frac{480}{510} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 10, 12, 16, 36 is 720. \begin{align*} \frac{8}{7} &= \frac{720}{630} \\ \frac{10}{11} &= \frac{720}{792} \\ \frac{12}{13} &= \frac{720}{780} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{36}{37} &= \frac{720}{740} \end{align*}

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The lowest common multiple of 8, 12, 15, 18, 24 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{11} &= \frac{360}{330} \\ \frac{15}{13} &= \frac{360}{312} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{24}{23} &= \frac{360}{345} \end{align*}

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The lowest common multiple of 8, 10, 12, 20, 30 is 120. \begin{align*} \frac{8}{7} &= \frac{120}{105} \\ \frac{10}{11} &= \frac{120}{132} \\ \frac{12}{13} &= \frac{120}{130} \\ \frac{20}{19} &= \frac{120}{114} \\ \frac{30}{29} &= \frac{120}{116} \end{align*}

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The lowest common multiple of 8, 10, 12, 18, 32 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{10}{11} &= \frac{1440}{1584} \\ \frac{12}{13} &= \frac{1440}{1560} \\ \frac{18}{19} &= \frac{1440}{1520} \\ \frac{32}{31} &= \frac{1440}{1395} \end{align*}

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The lowest common multiple of 8, 12, 15, 18, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{11} &= \frac{360}{330} \\ \frac{15}{13} &= \frac{360}{312} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 10, 12, 24, 30 is 120. \begin{align*} \frac{8}{7} &= \frac{120}{105} \\ \frac{10}{11} &= \frac{120}{132} \\ \frac{12}{13} &= \frac{120}{130} \\ \frac{24}{23} &= \frac{120}{115} \\ \frac{30}{29} &= \frac{120}{116} \end{align*}

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The lowest common multiple of 8, 10, 12, 24, 30 is 120. \begin{align*} \frac{8}{7} &= \frac{120}{105} \\ \frac{10}{11} &= \frac{120}{132} \\ \frac{12}{13} &= \frac{120}{130} \\ \frac{24}{23} &= \frac{120}{115} \\ \frac{30}{31} &= \frac{120}{124} \end{align*}

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The lowest common multiple of 8, 10, 12, 24, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{10}{11} &= \frac{360}{396} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 15, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{12}{11} &= \frac{480}{440} \\ \frac{15}{13} &= \frac{480}{416} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 12, 15, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{11} &= \frac{360}{330} \\ \frac{15}{13} &= \frac{360}{312} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 10, 12, 32, 36 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{10}{11} &= \frac{1440}{1584} \\ \frac{12}{13} &= \frac{1440}{1560} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 8, 10, 16, 18, 24 is 720. \begin{align*} \frac{8}{7} &= \frac{720}{630} \\ \frac{10}{11} &= \frac{720}{792} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{18}{19} &= \frac{720}{760} \\ \frac{24}{23} &= \frac{720}{690} \end{align*}

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The lowest common multiple of 8, 10, 16, 20, 30 is 240. \begin{align*} \frac{8}{7} &= \frac{240}{210} \\ \frac{10}{11} &= \frac{240}{264} \\ \frac{16}{17} &= \frac{240}{255} \\ \frac{20}{19} &= \frac{240}{228} \\ \frac{30}{29} &= \frac{240}{232} \end{align*}

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The lowest common multiple of 8, 10, 16, 18, 32 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{10}{11} &= \frac{1440}{1584} \\ \frac{16}{17} &= \frac{1440}{1530} \\ \frac{18}{19} &= \frac{1440}{1520} \\ \frac{32}{31} &= \frac{1440}{1395} \end{align*}

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The lowest common multiple of 8, 12, 18, 20, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{11} &= \frac{360}{330} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 10, 18, 24, 30 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{10}{11} &= \frac{360}{396} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \end{align*}

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The lowest common multiple of 8, 10, 18, 24, 30 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{10}{11} &= \frac{360}{396} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{31} &= \frac{360}{372} \end{align*}

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The lowest common multiple of 8, 12, 16, 24, 36 is 144. \begin{align*} \frac{8}{7} &= \frac{144}{126} \\ \frac{12}{11} &= \frac{144}{132} \\ \frac{16}{17} &= \frac{144}{153} \\ \frac{24}{23} &= \frac{144}{138} \\ \frac{36}{37} &= \frac{144}{148} \end{align*}

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The lowest common multiple of 8, 12, 16, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{12}{11} &= \frac{480}{440} \\ \frac{16}{17} &= \frac{480}{510} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 12, 16, 30, 36 is 720. \begin{align*} \frac{8}{7} &= \frac{720}{630} \\ \frac{12}{11} &= \frac{720}{660} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{30}{29} &= \frac{720}{696} \\ \frac{36}{37} &= \frac{720}{740} \end{align*}

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The lowest common multiple of 8, 10, 18, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{10}{11} &= \frac{360}{396} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{30}{31} &= \frac{360}{372} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 10, 20, 24, 30 is 120. \begin{align*} \frac{8}{7} &= \frac{120}{105} \\ \frac{10}{11} &= \frac{120}{132} \\ \frac{20}{19} &= \frac{120}{114} \\ \frac{24}{23} &= \frac{120}{115} \\ \frac{30}{29} &= \frac{120}{116} \end{align*}

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The lowest common multiple of 8, 10, 18, 24, 32 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{10}{11} &= \frac{1440}{1584} \\ \frac{18}{19} &= \frac{1440}{1520} \\ \frac{24}{23} &= \frac{1440}{1380} \\ \frac{32}{31} &= \frac{1440}{1395} \end{align*}

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The lowest common multiple of 8, 10, 20, 24, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{10}{11} &= \frac{360}{396} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 10, 20, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{10}{11} &= \frac{480}{528} \\ \frac{20}{19} &= \frac{480}{456} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 10, 18, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{10}{11} &= \frac{360}{396} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 18, 32, 36 is 288. \begin{align*} \frac{8}{7} &= \frac{288}{252} \\ \frac{12}{11} &= \frac{288}{264} \\ \frac{18}{19} &= \frac{288}{304} \\ \frac{32}{31} &= \frac{288}{279} \\ \frac{36}{37} &= \frac{288}{296} \end{align*}

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The lowest common multiple of 8, 12, 24, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{12}{11} &= \frac{480}{440} \\ \frac{24}{23} &= \frac{480}{460} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 12, 24, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{11} &= \frac{360}{330} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 24, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{11} &= \frac{360}{330} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{31} &= \frac{360}{372} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 30, 32, 36 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{12}{11} &= \frac{1440}{1320} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 8, 12, 18, 20, 24 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{24}{23} &= \frac{360}{345} \end{align*}

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The lowest common multiple of 8, 12, 18, 20, 30 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{30}{29} &= \frac{360}{348} \end{align*}

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The lowest common multiple of 8, 12, 16, 18, 32 is 288. \begin{align*} \frac{8}{7} &= \frac{288}{252} \\ \frac{12}{13} &= \frac{288}{312} \\ \frac{16}{17} &= \frac{288}{306} \\ \frac{18}{19} &= \frac{288}{304} \\ \frac{32}{31} &= \frac{288}{279} \end{align*}

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The lowest common multiple of 8, 12, 18, 20, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 16, 24, 30 is 240. \begin{align*} \frac{8}{7} &= \frac{240}{210} \\ \frac{12}{13} &= \frac{240}{260} \\ \frac{16}{17} &= \frac{240}{255} \\ \frac{24}{23} &= \frac{240}{230} \\ \frac{30}{29} &= \frac{240}{232} \end{align*}

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The lowest common multiple of 8, 12, 16, 24, 32 is 96. \begin{align*} \frac{8}{7} &= \frac{96}{84} \\ \frac{12}{13} &= \frac{96}{104} \\ \frac{16}{17} &= \frac{96}{102} \\ \frac{24}{23} &= \frac{96}{92} \\ \frac{32}{31} &= \frac{96}{93} \end{align*}

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The lowest common multiple of 8, 12, 16, 24, 36 is 144. \begin{align*} \frac{8}{7} &= \frac{144}{126} \\ \frac{12}{13} &= \frac{144}{156} \\ \frac{16}{17} &= \frac{144}{153} \\ \frac{24}{23} &= \frac{144}{138} \\ \frac{36}{37} &= \frac{144}{148} \end{align*}

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The lowest common multiple of 8, 12, 16, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{12}{13} &= \frac{480}{520} \\ \frac{16}{17} &= \frac{480}{510} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 12, 18, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 16, 32, 36 is 288. \begin{align*} \frac{8}{7} &= \frac{288}{252} \\ \frac{12}{13} &= \frac{288}{312} \\ \frac{16}{17} &= \frac{288}{306} \\ \frac{32}{31} &= \frac{288}{279} \\ \frac{36}{37} &= \frac{288}{296} \end{align*}

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The lowest common multiple of 8, 12, 20, 24, 30 is 120. \begin{align*} \frac{8}{7} &= \frac{120}{105} \\ \frac{12}{13} &= \frac{120}{130} \\ \frac{20}{19} &= \frac{120}{114} \\ \frac{24}{23} &= \frac{120}{115} \\ \frac{30}{29} &= \frac{120}{116} \end{align*}

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The lowest common multiple of 8, 12, 18, 24, 32 is 288. \begin{align*} \frac{8}{7} &= \frac{288}{252} \\ \frac{12}{13} &= \frac{288}{312} \\ \frac{18}{19} &= \frac{288}{304} \\ \frac{24}{23} &= \frac{288}{276} \\ \frac{32}{31} &= \frac{288}{279} \end{align*}

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The lowest common multiple of 8, 12, 20, 24, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 20, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{12}{13} &= \frac{480}{520} \\ \frac{20}{19} &= \frac{480}{456} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 12, 18, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 20, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{30}{31} &= \frac{360}{372} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 24, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{12}{13} &= \frac{480}{520} \\ \frac{24}{23} &= \frac{480}{460} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 12, 24, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 12, 24, 32, 36 is 288. \begin{align*} \frac{8}{7} &= \frac{288}{252} \\ \frac{12}{13} &= \frac{288}{312} \\ \frac{24}{23} &= \frac{288}{276} \\ \frac{32}{31} &= \frac{288}{279} \\ \frac{36}{37} &= \frac{288}{296} \end{align*}

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The lowest common multiple of 8, 12, 30, 32, 36 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{12}{13} &= \frac{1440}{1560} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 8, 18, 20, 24, 30 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \end{align*}

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The lowest common multiple of 8, 16, 18, 24, 30 is 720. \begin{align*} \frac{8}{7} &= \frac{720}{630} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{18}{19} &= \frac{720}{760} \\ \frac{24}{23} &= \frac{720}{690} \\ \frac{30}{31} &= \frac{720}{744} \end{align*}

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The lowest common multiple of 8, 16, 18, 24, 36 is 144. \begin{align*} \frac{8}{7} &= \frac{144}{126} \\ \frac{16}{17} &= \frac{144}{153} \\ \frac{18}{19} &= \frac{144}{152} \\ \frac{24}{23} &= \frac{144}{138} \\ \frac{36}{37} &= \frac{144}{148} \end{align*}

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The lowest common multiple of 8, 16, 20, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{16}{17} &= \frac{480}{510} \\ \frac{20}{19} &= \frac{480}{456} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 18, 20, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 18, 20, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{30}{31} &= \frac{360}{372} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 16, 24, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{16}{17} &= \frac{480}{510} \\ \frac{24}{23} &= \frac{480}{460} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 16, 24, 30, 36 is 720. \begin{align*} \frac{8}{7} &= \frac{720}{630} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{24}{23} &= \frac{720}{690} \\ \frac{30}{29} &= \frac{720}{696} \\ \frac{36}{37} &= \frac{720}{740} \end{align*}

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The lowest common multiple of 8, 16, 24, 30, 36 is 720. \begin{align*} \frac{8}{7} &= \frac{720}{630} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{24}{23} &= \frac{720}{690} \\ \frac{30}{31} &= \frac{720}{744} \\ \frac{36}{37} &= \frac{720}{740} \end{align*}

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The lowest common multiple of 8, 18, 30, 32, 36 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{18}{17} &= \frac{1440}{1360} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 8, 20, 24, 30, 32 is 480. \begin{align*} \frac{8}{7} &= \frac{480}{420} \\ \frac{20}{19} &= \frac{480}{456} \\ \frac{24}{23} &= \frac{480}{460} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 8, 18, 24, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 18, 24, 30, 36 is 360. \begin{align*} \frac{8}{7} &= \frac{360}{315} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{31} &= \frac{360}{372} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 8, 18, 30, 32, 36 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{18}{19} &= \frac{1440}{1520} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 8, 24, 30, 32, 36 is 1440. \begin{align*} \frac{8}{7} &= \frac{1440}{1260} \\ \frac{24}{23} &= \frac{1440}{1380} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 10, 12, 18, 20, 24 is 360. \begin{align*} \frac{10}{11} &= \frac{360}{396} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{24}{23} &= \frac{360}{345} \end{align*}

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The lowest common multiple of 12, 15, 18, 20, 30 is 180. \begin{align*} \frac{12}{11} &= \frac{180}{165} \\ \frac{15}{13} &= \frac{180}{156} \\ \frac{18}{17} &= \frac{180}{170} \\ \frac{20}{19} &= \frac{180}{171} \\ \frac{30}{29} &= \frac{180}{174} \end{align*}

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The lowest common multiple of 12, 15, 16, 20, 32 is 480. \begin{align*} \frac{12}{11} &= \frac{480}{440} \\ \frac{15}{13} &= \frac{480}{416} \\ \frac{16}{17} &= \frac{480}{510} \\ \frac{20}{19} &= \frac{480}{456} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 10, 12, 16, 20, 36 is 720. \begin{align*} \frac{10}{11} &= \frac{720}{792} \\ \frac{12}{13} &= \frac{720}{780} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{20}{19} &= \frac{720}{684} \\ \frac{36}{37} &= \frac{720}{740} \end{align*}

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The lowest common multiple of 12, 15, 18, 24, 30 is 360. \begin{align*} \frac{12}{11} &= \frac{360}{330} \\ \frac{15}{13} &= \frac{360}{312} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \end{align*}

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The lowest common multiple of 12, 15, 16, 24, 32 is 480. \begin{align*} \frac{12}{11} &= \frac{480}{440} \\ \frac{15}{13} &= \frac{480}{416} \\ \frac{16}{17} &= \frac{480}{510} \\ \frac{24}{23} &= \frac{480}{460} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 10, 12, 16, 24, 36 is 720. \begin{align*} \frac{10}{11} &= \frac{720}{792} \\ \frac{12}{13} &= \frac{720}{780} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{24}{23} &= \frac{720}{690} \\ \frac{36}{37} &= \frac{720}{740} \end{align*}

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The lowest common multiple of 12, 15, 18, 30, 32 is 1440. \begin{align*} \frac{12}{11} &= \frac{1440}{1320} \\ \frac{15}{13} &= \frac{1440}{1248} \\ \frac{18}{17} &= \frac{1440}{1360} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \end{align*}

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The lowest common multiple of 10, 12, 18, 30, 36 is 180. \begin{align*} \frac{10}{11} &= \frac{180}{198} \\ \frac{12}{13} &= \frac{180}{195} \\ \frac{18}{17} &= \frac{180}{170} \\ \frac{30}{29} &= \frac{180}{174} \\ \frac{36}{37} &= \frac{180}{185} \end{align*}

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The lowest common multiple of 12, 15, 16, 32, 36 is 1440. \begin{align*} \frac{12}{11} &= \frac{1440}{1320} \\ \frac{15}{13} &= \frac{1440}{1248} \\ \frac{16}{17} &= \frac{1440}{1530} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 10, 12, 18, 24, 30 is 360. \begin{align*} \frac{10}{11} &= \frac{360}{396} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \end{align*}

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The lowest common multiple of 12, 15, 18, 24, 30 is 360. \begin{align*} \frac{12}{11} &= \frac{360}{330} \\ \frac{15}{13} &= \frac{360}{312} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{31} &= \frac{360}{372} \end{align*}

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The lowest common multiple of 10, 12, 18, 24, 36 is 360. \begin{align*} \frac{10}{11} &= \frac{360}{396} \\ \frac{12}{13} &= \frac{360}{390} \\ \frac{18}{19} &= \frac{360}{380} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 10, 12, 18, 30, 32 is 1440. \begin{align*} \frac{10}{11} &= \frac{1440}{1584} \\ \frac{12}{13} &= \frac{1440}{1560} \\ \frac{18}{19} &= \frac{1440}{1520} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \end{align*}

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The lowest common multiple of 10, 12, 20, 30, 36 is 180. \begin{align*} \frac{10}{11} &= \frac{180}{198} \\ \frac{12}{13} &= \frac{180}{195} \\ \frac{20}{19} &= \frac{180}{171} \\ \frac{30}{29} &= \frac{180}{174} \\ \frac{36}{37} &= \frac{180}{185} \end{align*}

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The lowest common multiple of 12, 15, 18, 32, 36 is 1440. \begin{align*} \frac{12}{11} &= \frac{1440}{1320} \\ \frac{15}{13} &= \frac{1440}{1248} \\ \frac{18}{19} &= \frac{1440}{1520} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 12, 15, 24, 30, 32 is 480. \begin{align*} \frac{12}{11} &= \frac{480}{440} \\ \frac{15}{13} &= \frac{480}{416} \\ \frac{24}{23} &= \frac{480}{460} \\ \frac{30}{29} &= \frac{480}{464} \\ \frac{32}{31} &= \frac{480}{465} \end{align*}

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The lowest common multiple of 12, 15, 24, 30, 36 is 360. \begin{align*} \frac{12}{11} &= \frac{360}{330} \\ \frac{15}{13} &= \frac{360}{312} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 12, 15, 24, 30, 36 is 360. \begin{align*} \frac{12}{11} &= \frac{360}{330} \\ \frac{15}{13} &= \frac{360}{312} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{31} &= \frac{360}{372} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 10, 12, 30, 32, 36 is 1440. \begin{align*} \frac{10}{11} &= \frac{1440}{1584} \\ \frac{12}{13} &= \frac{1440}{1560} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 10, 16, 20, 24, 30 is 240. \begin{align*} \frac{10}{11} &= \frac{240}{264} \\ \frac{16}{17} &= \frac{240}{255} \\ \frac{20}{19} &= \frac{240}{228} \\ \frac{24}{23} &= \frac{240}{230} \\ \frac{30}{29} &= \frac{240}{232} \end{align*}

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The lowest common multiple of 10, 18, 20, 24, 30 is 360. \begin{align*} \frac{10}{11} &= \frac{360}{396} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{31} &= \frac{360}{372} \end{align*}

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The lowest common multiple of 10, 18, 20, 24, 36 is 360. \begin{align*} \frac{10}{11} &= \frac{360}{396} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{20}{19} &= \frac{360}{342} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 10, 16, 18, 30, 32 is 1440. \begin{align*} \frac{10}{11} &= \frac{1440}{1584} \\ \frac{16}{17} &= \frac{1440}{1530} \\ \frac{18}{19} &= \frac{1440}{1520} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \end{align*}

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The lowest common multiple of 12, 16, 18, 30, 36 is 720. \begin{align*} \frac{12}{11} &= \frac{720}{660} \\ \frac{16}{17} &= \frac{720}{765} \\ \frac{18}{19} &= \frac{720}{760} \\ \frac{30}{29} &= \frac{720}{696} \\ \frac{36}{37} &= \frac{720}{740} \end{align*}

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The lowest common multiple of 12, 16, 20, 32, 36 is 1440. \begin{align*} \frac{12}{11} &= \frac{1440}{1320} \\ \frac{16}{17} &= \frac{1440}{1530} \\ \frac{20}{19} &= \frac{1440}{1368} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}

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The lowest common multiple of 10, 18, 24, 30, 32 is 1440. \begin{align*} \frac{10}{11} &= \frac{1440}{1584} \\ \frac{18}{17} &= \frac{1440}{1360} \\ \frac{24}{23} &= \frac{1440}{1380} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \end{align*}

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The lowest common multiple of 10, 18, 24, 30, 36 is 360. \begin{align*} \frac{10}{11} &= \frac{360}{396} \\ \frac{18}{17} &= \frac{360}{340} \\ \frac{24}{23} &= \frac{360}{345} \\ \frac{30}{29} &= \frac{360}{348} \\ \frac{36}{37} &= \frac{360}{370} \end{align*}

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The lowest common multiple of 12, 18, 24, 32, 36 is 288. \begin{align*} \frac{12}{11} &= \frac{288}{264} \\ \frac{18}{17} &= \frac{288}{272} \\ \frac{24}{23} &= \frac{288}{276} \\ \frac{32}{31} &= \frac{288}{279} \\ \frac{36}{37} &= \frac{288}{296} \end{align*}

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The lowest common multiple of 12, 18, 30, 32, 36 is 1440. \begin{align*} \frac{12}{11} &= \frac{1440}{1320} \\ \frac{18}{17} &= \frac{1440}{1360} \\ \frac{30}{29} &= \frac{1440}{1392} \\ \frac{32}{31} &= \frac{1440}{1395} \\ \frac{36}{37} &= \frac{1440}{1480} \end{align*}