The L.C.M. of $22 x (x + 1)^{2}$ and $36 x^{2} (2 x^{2} + 3 x + 1)$ is

2 x (x + 1)

)

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396 x^{2} (x + 1)^{2} (2 x + 1)

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792 x^{3} (x + 1)^{2} (2 x^{2} + 3 x + 1)

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(x + 1) (2 x + 1)

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Solution

The correct option is B $396 x^{2} (x + 1)^{2} (2 x + 1)$
$22 x (x + 1)^{2} = 2 \times 11 \times x (x + 1)^{2}$
$36 x^{2} (2 x^{2} + 3 x + 1) = 2^{2} {.3}^{2} . x^{2} (x + 1) (2 x + 1)$
$∴ L C M = 2^{2} {.3}^{2} \times 11. x^{2} . (x + 1)^{2} (2 x + 1)$
$\Rightarrow L C M = 396 x^{2} (x + 1)^{2} (2 x + 1)$
LCM is taking highest power of terms
b/w 2 Polynomial.

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