Art of Problem Solving

2013 AMC 8 Problems/Problem 10: Difference between revisions

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==Solution==
==Solution==
This is very easy. To find the LCM of 180 and 594, find the prime factorization of both.
The prime factorization of 180 = <math>3^2 \times  5 \times 2^2</math>


==See Also==
==See Also==
{{AMC8 box|year=2013|num-b=9|num-a=11}}
{{AMC8 box|year=2013|num-b=9|num-a=11}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 16:39, 27 November 2013

Problem

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

$\textbf{(A)}\ 110 \qquad \textbf{(B)}\ 165 \qquad \textbf{(C)}\ 330 \qquad \textbf{(D)}\ 625 \qquad \textbf{(E)}\ 660$

Solution

This is very easy. To find the LCM of 180 and 594, find the prime factorization of both.

The prime factorization of 180 = $3^2 \times  5 \times 2^2$

See Also

2013 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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