The LCM of $a^{2} + 3 a + 2, a^{2} + 5 a + 6$ , and $a^{2} + 4 a + 4$ is

(a + 2)^{2} (a + 3)

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(a + 2)^{2} (a + 1)

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(a + 2)^{2} (a + 3) (a + 1)

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(a + 3) (a + 2) (a + 1)

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Solution

The correct option is D $(a + 2)^{2} (a + 3) (a + 1)$
$a^{2} + 3 a + 2 = (a + 2) (a + 1)$
$a^{2} + 5 a + 6 = (a + 3) (a + 2)$
$a^{2} + 4 a + 4 = (a + 2)^{2}$
$L C M = (a + 2)^{2} (a + 1) (a + 3)$

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