Question

In a school there are two sections $A$ and $B$ there are $32$ students in section A and $36$ students in section $B$. Determine the minimum number of books required for library so that it can be distributed equally among the children.

Answer 1

Given:

Number of students in section $A=32$

Number of students in section $B=36$

So, minimum number of books required to distribute equally among each section

= L.C.M of $32$ and $36$

$\begin{array}{cc}2& 32,36\\ 2& 16,18\\ 2& 8,9\\ 2& 4,9\\ 2& 2,9\\ 3& 1,9\\ 3& 1,3\\ & 1\end{array}$

$\therefore$ LCM of $32$ and $36=2\times 2\times 2\times 2\times 2\times 3\times 3=288$

Hence, the minimum number of books required for library so that it can be distributed equally among the children is $288$.