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

#2**+5 **

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

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

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

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asinus
Mar 11, 2017