Question

Find the LCM of the numbers given below:
48, 64, 72, 96, 108

Answer 1

The given numbers are 48, 64, 72, 96 and 108.
We have:

$\begin{array}{l}2\overline{)48,64,72,96,108}\\ 2\overline{)24,32,36,48,54}\\ 2\overline{)12,16,18,24,27}\\ 2\overline{)6,8,9,12,27}\\ 3\overline{)3,4,9,6,27}\\ 2\overline{)1,4,3,2,9}\\ 2\overline{)1,2,3,1,9}\\ 3\overline{)1,1,3,1,9}\\ 3\overline{)1,1,1,1,3}\\ \text{1,1,1,1,1}\end{array}$

∴ LCM = 2⁶ × 3³
= 1728