Question

Find L.C.M. of: $72,84,126$

Answer 1

First we write all numbers as product of their prime numbers.
So, $72=2\times 2\times 2\times 3\times 3$
$84=2\times 2\times 3\times 7$
$126=2\times 3\times 3\times 7$
We then choose each prime number with the greatest power and multiply them to get the LCM.
$=>LCM=2\times 2\times 2\times 3\times 3\times 7=8\times 9\times 7=504$