Question

Find the LCM of the numbers given below:
28, 36, 45, 60

Answer 1

The given numbers are 28, 36, 45 and 60.

We have:

$\begin{array}{l}2\overline{)28,36,45,60}\\ 2\overline{)\text{14,18,45,30}}\\ 3\overline{)\text{7,9,45,15}}\\ 3\overline{)\text{7,3,15,5}}\\ 5\overline{)\text{7,1,5,5}}\\ 7\overline{)\text{7,1,1,1}}\\ \text{1,1,1,1}\end{array}$

∴ LCM = 2 × 2 × 3 × 3 × 5 × 7
= 1260