Question

If one number is $8$, and other number is $12$, LCM of $8$ and $12$ is $24$ and HCF of $8$ and $12$ is $4$, then verify that

$\mathrm{Product}\mathrm{of}\mathrm{two}\mathrm{numbers}=\mathrm{HCF}\times \mathrm{LCM}$

Answer 1

Verifying $\mathrm{Product}\mathrm{of}\mathrm{two}\mathrm{numbers}=\mathrm{HCF}\times \mathrm{LCM}$:

Given numbers are $8$ and $12$,

$\therefore \mathrm{Product}\mathrm{of}\mathrm{the}\mathrm{numbers}=8\times 12=96$

LCM of $8$ and $12$ is $24$ and

HCF of $8$ and $12$ is $4$

$\therefore \mathrm{HCF}\times \mathrm{LCM}=4\times 24=96$

$\therefore \mathrm{Product}\mathrm{of}\mathrm{the}\mathrm{numbers}=\mathrm{HCF}\times \mathrm{LCM}=96$

Hence, $\mathrm{Product}\mathrm{of}\mathrm{two}\mathrm{numbers}=\mathrm{HCF}\times \mathrm{LCM}$ is verified.