Question

The product of two numbers is $75$ and their HCF is $5$. What is the LCM of two numbers ?

Answer 1

Let two numbers are $x$and $y$ .

Given , the product of two numbers is $75$

$x\times y=75$

and HCF of two numbers is $5$

Now , we know that formula :- product of two numbers $=$LCM $\times$HCF

$$\begin{gathered} \mathrm{LCM}=\frac{\mathrm{Product}\mathrm{of}\mathrm{two}\mathrm{numbers}}{\mathrm{HCF}} \\ =\frac{\mathrm{x}\times \mathrm{y}}{\mathrm{HCF}} \\ =\frac{75}{5} \\ =15 \end{gathered}$$

Hence , the required LCM of two numbers is $15$ .