The LCM of $60, 80, 108 .$

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Solution

The LCM of $60, 80, 108 .$
We can find the LCM by prime factorisation method.
Prime factorisation of $60 = 2 x 2 x 3 x 5$
Prime factorisation of $80 = 2 x 2 x 2 x 2 x 5$
Prime factorisation of $108 = 2 x 2 x 3 x 3 x 3$
LCM is the product of all prime factors in the greatest number of their occurrence.
$L C M (60, 80, 108) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160$
Hence, The LCM of $60, 80, 108 = 2160$

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