Find by Prime factorization LCM of
$112, 168 a n d 228$

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Solution

The least common multiple is the product of all factors in the greatest number of their occurrence.
Prime factorization of
$112 = 2 x 2 x 2 x 2 x 7 168 = 2 x 2 x 2 x 3 x 7 228 = 2 x 2 x 3 x 19$
LCM $(112, 168 a n d 228) = 2 x 2 x 2 x 2 x 3 x 7 x 19 = 6384$
Therefore, $LCM (112, 168 and 228) = 6384$ .

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