Question

The product of two numbers is $150$ and their H.C.F. is $5$. What is the L.C.M. of the two numbers?

Answer 1

Finding the L.C.M. of the two numbers

$$\begin{gathered} \text{LCM×HCF=Product of the number} \\ \text{⇒LCM =}\frac{productoftwonumber}{HCF} \\ \Rightarrow LCM=\frac{150}{5} \\ \Rightarrow LCM=30 \end{gathered}$$

Hence, the L.C.M is $30$.