Question

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

Answer 1

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