Question

Find the greatest number less than $1000$ which is exactly divisible by $48,60$ and $64$.

Answer 1

$48=2\times 2\times 2\times 2\times 3$

$60=2\times 2\times 3\times 5$

$62=2\times 2\times 2\times 2\times 2\times 2$

L.C.M. of $48,60$ and $64=2^6\times 3\times 5=960$

$960<1000$

$\therefore 960$ is the gratest number less than $1000$ which is eactly divisible by $48,60$ and $64$.