Question

Find L.C.M. of: $294,420.and504$.

Answer 1

First we write all numbers as product of their prime numbers.
So, $294=2\times 3\times 7\times 7$
$420=2\times 2\times 3\times 5\times 7=420$
$504=2\times 2\times 2\times 3\times 3\times 7$
We then choose each prime number with the greatest power and multiply them to get the LCM.
$=>LCM=2\times 2\times 2\times 3\times 3\times 5\times 7\times 7=8\times 9\times 5\times 49=17640$