Find the LCM of $a^{2} b c, b^{3} c^{3}$ and $a b^{2} c^{2}$ .

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Solution

Here, the product of the highest exponent of the common variables is the LCM of the given algebraic terms. The highest power of $a$ is $a^{2}$ ; that of $b$ is $b^{3}$ and that of $c$ is $c^{3}$ . Hence
$L C M = a^{2} b^{3} c^{3}$ .

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