Question
Determine the $L.C.M$ of the numbers given below: $108, 135, 162$

Answer

$108, 135, 162$
Prime factorization of $108 = 2 \times 2 \times 3 \times 3 \times 3$
Prime factorization of $135 = 3 \times 3 \times 3 \times 5$
Prime factorization of $162 = 2 \times 3 \times 3 \times 3 \times 3 $T
herefore, Required $LCM = 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 = 1,620$

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