4. Determine the smallest 3-digit number which is exactly divisible by 6, 8 and 12.

Answers (1)

Smallest number = LCM of 6, 8, 12

\begin{array}{|c|c|c|}\hline 2 & {6,8,12} \\ \hline 2 & {3,4,6} \\ \hline 2 & {3,2,3} \\ \hline 3 & {3,1,3} \\ \hline 3 & {1,1,1} \\ \hline\end{array}

We have to find the smallest 3-digit multiple of 24.

It can be seen that

24 \times  4 = 96 and

24 \times  5 = 120.

Hence, the smallest 3-digit number which is exactly divisible by 6, 8, and 12 is 120.

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