Question

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

Answer 1

Step - 1: Find L.C.M. of $6,8$ and $12$

L.C.M. $=2\times 2\times 2\times 3=24$

Step 2: Find the smallest $3$-digit multiple of $24$

The smallest $3$-digit multiple of $24$ $=24\times 5=120$

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