Answer:
The last choice is correct
[tex]LCM=120a^4b^7c^5[/tex]
Step-by-step 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:
[tex]12a^4b^2c^5[/tex]
[tex]40a^3b^7c^1[/tex]
The prime factors of the first monomial are:
[tex]2^2,3,a^4,b^2,c^5[/tex]
The prime factors of the second monomial are:
[tex]2^3,5,a^3b^7c^1[/tex]
LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]
These are all the factors the greatest number of times they occur.
Operating:
[tex]LCM=8*15*a^4*b^7*c^5[/tex]
[tex]\boxed{LCM=120a^4b^7c^5}[/tex]
The last choice is correct
