Question

Find L.C.M. of: $24,36,108and192$

Answer 1

First we write all numbers as product of their prime numbers.
So, $24=2\times 2\times 2\times 3$
$36=2\times 2\times 3\times 3$
$108=2\times 2\times 3\times 3\times 3$
$192=2\times 2\times 2\times 2\times 2\times 2\times 3$

We then choose each prime number with the greatest power and multiply them to get the LCM.
$\therefore LCM=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3=1728$