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# Question

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What is the ratio of the least common multiple of 180 and 594 to the greatest common factor of 180 and 594

Guest Mar 11, 2017
#1
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LCM[180, 594] =5,940.

GCD[180,594]  =18

Ratio =5,940 / 18 =330

Guest Mar 11, 2017
#2
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What is the ratio of the least common multiple of 180 and 594 to the greatest common factor of 180 and 594

$$\frac{180}{594}=\frac{2^2\cdot3^2\cdot5}{2\cdot3^3\cdot11}\ \ lcm=2^2\cdot3^3\cdot5\cdot11\ \ gcf=2\cdot3^2$$

$$\frac{lcm}{gcf}=\frac{2^2\cdot3^3\cdot5\cdot11}{2\cdot3^2}=\frac{2\cdot3\cdot5\cdot11}{1}\color{blue}=330:1$$

!

asinus  Mar 11, 2017
edited by asinus  Mar 11, 2017