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Chapter 9: Q15. (page 483)

Find the LCM of set of polynomials $36 x^{2} y, 20 x y z$ .

Short Answer

Expert verified

The LCM of given polynomials is $180 x^{2} y z$ .

Step by step solution

01

Step 1. Write down the given polynomials.

The given polynomials are $36 x^{2} y, 20 x y z$ .

02

Step 2. Factorize the polynomials and take common factors of each higher power.

The polynomial $36 x^{2} y$ is factorized as: $(2^{2}) (3^{2}) (x^{2}) (y)$

The polynomial $20 x y z$ is factorized as: $(2^{2}) (5) (x) (y) (z)$

Taking common factors of each higher power, the LCM of given polynomials is written as:

$\begin{array}{l} L C M = (2^{2}) (3^{2}) (x^{2}) (y) (5) (z) \\ = 180 x^{2} y z \end{array}$

03

Step 3. Conclusion.

The LCM of given polynomials is $180 x^{2} y z$ .

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