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:

(iv) $22,121$ and $33$

Answer 1

Step 1: Use the prime factor method to find $L.C.M.$

$L.C.M.$ of $22,121$ and $33$
Prime factors of $22=2\times 11=2^1\times {11}^1$
Prime factors of $121=11\times 11={11}^2$
Prime factors of $33=3\times 11=3^1\times {11}^1$

$\therefore L.C.M.$ of $22,121$ and $33=2^1\times 3^1\times {11}^2$
$=2\times 3\times 11\times 11=726$

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

$L.C.M.$ of $22,121$ and $33=2\times 3\times 11\times 11=726$