SOLUTION: How do I find the LCD of 5/9x^2y^7 and 7/3x^4y^2z

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Question 868995: How do I find the LCD of
5/9x^2y^7 and 7/3x^4y^2z

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you are looking to make both denominators the same.

your denominators are:

your denominators are:

(9 * x^2 * y^7) and (3 * x^4 * y^2 * z)

you have to multiply your first denominator by z and x^2

you have to multiply your second denominator by 3 and y^5

you will get:

( 9 * x^2 * y^7 * z * x^2) and (3 * x^4 * y^2 * z * 3 * y^5)

since x^2 * x^2 = x^4 in the expression on the left, and 3 * 3 = 9 and y^2 * y^5 = y^7 in the expression on the right, you will get:

( 9 * x^4 * y^7 * z) and (9 * x^4 * y^7 * z)

now the denominators are the same.

This is the LCD because there is no smaller denominator that you can find that is common to both.