Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length

Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length

Answer Details

The least length is $\frac{40}{48}$ = $\frac{5}{8}$
for the rod to be cut in exactly equal trips
Ratio $\frac{5}{6}$ : $\frac{48}{40}$
$\frac{\frac{5}{6}}{\frac{40}{48}}$ = 1
$\frac{5}{6}$ x $\frac{48}{40}$ = $\frac{240}{240}$ = 1
The least length = 240cm