1. Look at the two monomials below.

Question

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

Henry · 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.