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Question 933078: Please help I don't get this:
Find the LCM of 2x^2y
3x^2+12x
Find the LCM of 4xy^2
6xy^2+12y^2
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i think you follow the same rules for finding the lcm of a number.
that would be by taking out the common factors and what you are left with are used to multiply the original numbers to get the common multiple.
an example will help to clarify.
find the common multiple of 6 and 9.
the factors of 6 are 2 and 3
the factors of 9 are 3 and 3.
take out the common factors and you get
the uncommon factors of 6 are 2
the uncommon factors of 9 are 3
you multiply 9 * 2 and you get 18
you multiply 6 * 3 and you get 18
the least common multiple of 6 and 9 is 18.
since we already know that the least common multiple of 6 and 9 is 18, then the method works.
let's see how it works with your problems.
your first expressions are 2x^2y and 3x^2 + 12x
factor out an x in 2x^2y and you get x*(2xy)
factor out an x in (3x^2 + 12x) and you get x*(3x+12)
take away the common multiple of x and you are left with the uncommon multiples of:
2xy for 2x^2y and (3x+12) for (3x^2 + 12x)
there are no more common factors that can be removed.
now multiply 2xy * (3x^2 + 12x) to get 6x^3y + 24x^2y
now multiply (3x+12) * 2x^2y to get 6x^3y + 24x^2y
your least common multiple is 6x^3y + 24x^2y
it involves no more than applying the same methods that you would apply to numbers to get their common multiples.
your second problem should be able to be solved in the same way.
good luck with it.
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