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