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1. Find the Least Common Multiple of these two monomials:
See picture

1. Find the Least Common Multiple of these two monomials: See picture-example-1

1 Answer

7 votes

Answer:

The last choice is correct


LCM=120a^4b^7c^5

Explanation:

Least Common Multiple (LCM)

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:


12a^4b^2c^5


40a^3b^7c^1

The prime factors of the first monomial are:


2^2,3,a^4,b^2,c^5

The prime factors of the second monomial are:


2^3,5,a^3b^7c^1

LCM = Multiply
2^3*3*5*a^4*b^7*c^5

These are all the factors the greatest number of times they occur.

Operating:


LCM=8*15*a^4*b^7*c^5


\boxed{LCM=120a^4b^7c^5}

The last choice is correct

User Lorenzocastillo
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