SOLUTION: Find the prime factorization, GCF & LCM for each group of monomials. (Factor as much as possible) 9x^2 = 5xy = 3xy^2 = GCF = LCM =

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the prime factorization, GCF & LCM for each group of monomials. (Factor as much as possible) 9x^2 = 5xy = 3xy^2 = GCF = LCM =      Log On


   

Question 731286: Find the prime factorization, GCF & LCM for each group of monomials.
(Factor as much as possible)
9x^2 =
5xy =
3xy^2 =
GCF =
LCM =
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
first, the prime factorization:
9x%5E2++=3%2A3%2Ax%2Ax
5xy+++=5%2Ax%2Ay
3xy%5E2+=3%2Ax%2Ay%2Ay
GCF is the highest number that divides exactly into two or more numbers.
If you find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
so, your common factors are:
9x%5E2++=3%2A3%2Ahighlight%28x%29%2Ax
5xy+++=5%2Ahighlight%28x%29%2Ay
3xy%5E2+=3%2Ahighlight%28x%29%2Ay%2Ay
your GCF is:
GCF+=highlight%28x%29

LCM is the least common multiple of a set of numbers is the lowest positive number that is a multiple of every number in that set.
9x%5E2++=highlight%283%29%2Ahighlight%283%29%2Ahighlight%28x%29%2Ahighlight%28x%29
5xy+++=5%2Ax%2Ay
3xy%5E2+=3%2Ax%2Ahighlight%28y%29%2Ahighlight%28y%29
so, your LCM is:

LCM+=highlight%289x%5E2y%5E2%29