The LCM of $4 x y^{4}$ and $6 x^{2} y^{2}$ is

6 x y^{2}

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12 x^{2} y^{4}

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6 x^{2} y^{2}

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2 x y

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Solution

The correct option is B $12 x^{2} y^{4}$
$4 x y^{4} = 2^{2} \times x \times y^{4}$
$6 x^{2} y^{2} = 2 \times 3 \times x^{2} \times y^{2}$
$∴ L . C . M . = 2^{2} \times 3 \times x^{2} \times y^{4} = 12 x^{2} y^{4}$ .
Option B is correct.

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