Question

Write any three numbers of two digits. Find the L.C.M and H.C.F for the above numbers by the "Prime Factorization method."

Answer 1

Lets take three numbers as $32,48$ and $54$

Now prime factorize these numbers,

$32=2\times 2\times 2\times 2\times 2$

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

$54=2\times 3\times 3\times 3$

So HCF $=2$ (only 2 is common to all terms)

and LCM $=2\times 2\times 2\times 2\times 2\times 3\times 3\times 3=32\times 27=864$