Question

Find the least number that can be divided exactly by all the even numbers between $10$ and $20$.

Answer 1

The least number that can be divided exactly by all the even numbers between 10 and 20
= $LCM(12,14,16,18)$
Factors of $12=2\times 2\times 3$
Factors of $14=2\times 7$
Factors of $16=2\times 2\times 2\times 2$
Factors of $18=2\times 9$
Thus,
$LCM(12,14,16,18)$ = $2\times 2\times 2\times 2\times 3\times 3\times 7$
= $1008$