Question

Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.

Answer 1

$\text{L.C.M of 8, 10, 12 = 2 x 2 x 2 x 3 x 5 = 120}$



$\text{The largest three digit number = 999}$



$\text{Now,}$
$\: \: \: \: \: \: \: \: \: \: \: \:120 ÷ 999 = 39$



$\textbf{Therefore, the required number = 999 – 39 = 960}$