Question

Using the formula $\mathrm{HCF}\times \mathrm{LCM}=\mathrm{Product}\mathrm{of}\mathrm{the}\mathrm{two}\mathrm{numbers}$, find the LCM of numbers 510 and 92.

Answer 1

Step1: Finding HCF

Factorizing $510$ we get $510=2\times 3\times 5\times 17$

Factorizing $92$we get $92=2\times 2\times 23$

Therefore, HCF = 2

Step2: Finding LCM

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

$$\begin{gathered} \Rightarrow 2\times \mathrm{LCM}=510\times 92 \\ \Rightarrow \mathrm{LCM}=\frac{510\times 92}{2} \\ \Rightarrow \mathrm{LCM}=510\times 46 \\ \Rightarrow \mathrm{LCM}=23460 \end{gathered}$$

Hence, the LCM of the numbers is 23460.