Using the common multiple method, find the $L . C . M .$ of the following :

(i) $8, 12$ and $24$

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Solution

Step 1: Find the multiples

Multiples of $8 = 8, 16, 24, 32, 40, 48, \dots .$
Multiples of $12 = 12, 24, 36, 48, \dots .$
Multiples of $24 = 24, 48, \dots .$

Step 2: Find $L . C . M .$
Common multiples of $8, 12$ and $24 = 24, 48, \dots$
$∴ L C M$ of $8, 12$ and $24 = 24$

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