Find the $\text{L.C.M}$ and $\text{H.C.F}$ of the following pair of integers and verify that $\text{L.C.M}\times \text{ H.C.F}=\text{Product of integers}$.

$510$ and $92$

Find the LCM and HCF of the following pairs of integers and verify that HCF$\times$LCM$=$Product of the numbers.

$336$ and $54$

Find the LCM and HCF of the following pair of integers and verify that H.C.F$\times$L.C.M$=$Product of numbers.

$404$ and $96$

Find the $LCM\times HCF$ of the following integers:$12, 15$ and $21$.

Find the sum of $\mathrm{LCM}$ and $\mathrm{HCF}$ of the integers $17, 23$ and $29$.

$8, 9$ and $25$.

If the $\text{HCF}$ is represented by $x$, then find the value of $x$.

$40, 36$ and $126$.

If the $\text{HCF}$ is represented by $x$, then find the value of $x$.

Find the sum of $\mathrm{LCM}$ and $\mathrm{HCF}$ of the integers $84, 90$ and $120$.

$24, 15$ and $36$.

If the $\text{LCM}$ is represented by $x$, then find the value of $x$.