Question

Find L.C.M. of $756,810$.

Answer 1

First we write all numbers as product of their prime numbers.
$756=2\times 2\times 3\times 3\times 3\times 7$
$810=2\times 3\times 3\times 3\times 3\times 5$
We then choose each prime number with the greatest power and multiply them to get the LCM.
$\therefore LCM=2\times 2\times 3\times 3\times 3\times 3\times 5\times 7=4\times 81\times 5\times 7=11340$