1. Look at the two monomials below.

9u3v2w4 15u4v4w3

What is the least common multiple (LCM) of the monomials shown above?


3u3v2w3
45u4v4w4
45u3v2w3
3u4v4w4

1 answer

First, i'm assuming there are no exponents. Then i'm going to multiply
the coefficients together forming a single coefficient for each monomial.

9u3v2w4 = 216uvw,
15u4v4w3 = 720uvw,

The LCM is => The largest coefficient(720). If we divided 720 by 216, we would get a remainder. Therefore, 720 is NOT the LCM. So the LCM is > 720.
We try dividing 2160(3*720) by 216 and
we get 10 and NO remainder.

Therefore, the LCM = 2160.
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