SOLUTION: The LCM of 6, 12, and n is 660. Find all the possible values of n.

Question 831380: The LCM of 6, 12, and n is 660. Find all the possible values of n.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

so the prime factorization is
Since the prime factorization for and are
and ,
the factors and must come from .
There could be other factors of included in .
The prime factorization of could have
with exponents 0, 1, or 2,
and/or with exponents 0 or 1,
in addition to and .
That gives us possible values for :

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