LCM and hcf x3yz ,(x+y)z,(x2-y2)z
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We know that the least common multiple (LCM) is the smallest number or expression that is a common multiple of two or more numbers or algebraic terms.
We first factorize the given monomials x
y 2 and xyz as shown below:x 3 y 2
=x×x×x×y×y
xyz=x×y×z
Now multiply all the factors, using each common factor only once, therefore, the LCM is:
x×x×x×y×y×z=x 3 y 2 z
Hence, the LCM of x 3 y 2 and xyz is x 3 y 2 z.
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