Question

Find the $L.C.M.$ of each of the following groups of numbers, using (i) the prime factor method (ii) the common division method:

(i) $18,24$ and $96$

Answer 1

Step 1: Use the prime factor method to find $L.C.M.$
$L.C.M.$ of $18,24$ and $96$
Prime factors of $18=2\times 3\times 3$
Prime factors of $24=2\times 2\times 2\times 3$
Prime factors of $96=2\times 2\times 2\times 2\times 2\times 3$
$\therefore L.C.M.=2\times 2\times 2\times 2\times 2\times 3\times 3=288$

Step 2: Use the common division method to find $L.C.M.$


$L.C.M.$ of $18,24$ and $96=2\times 2\times 2\times 2\times 2\times 3\times 3$
$=288$​