Question

The HCF of two or more numbers is a factor of their LCM.

Answer 1

LCM of two or more numbers is always divisible by their HCF.

Example: Let us take two numbers $6$ and $20$.

The prime factorization of $6=2^1\times 3^1$ and $20=2^2\times 5^1$

To find HCF, Choose a common factor from the above with the least exponent.

HCF $\left(6,20\right)$$=2$

To find LCM, Choose each factor with the highest exponent.

LCM $\left(6,20\right)=2^2\times 3\times 5=60$

$\therefore 2$ is a factor of $60$.

Therefore, the given statement is true.