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What is the Least common multiple of 8, 12, 5?

Apr 10, 2018

Explanation:

Find the multiples of the last number in the problem - 5.
$5 , 10 , 15 , 20 , 25 , 30 , 35 , 40 , 45 , 50 , 55 , 60 , 65 , 70 , 75 , 80 , 85 , 90 , 95 , 100 , 105 , 110 , 115 , \textcolor{red}{120} \ldots$

Find the multiples of 12 after that:
$12 , 24 , 36 , 48 , 60 , 72 , 84 , 96 , 108 , \textcolor{red}{120} , 132 , 144 , 156. . .$

Finally, find the multiples of 8.
$8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , 72 , 80 , 88 , 96 , 104 , 112 , \textcolor{red}{120} \ldots$

So the LCM of 8, 12 and 5 is $\textcolor{red}{120} .$