Question

Find the HCF and LCM of 96 and 404 by prime factorisation method.

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}96\mathrm{and}404\mathrm{are}: \\ 96=2\times 2\times 2\times 2\times 2\times 3 \\ 404=2\times 2\times 101 \\ \mathrm{So}, \\ \mathrm{HCF}\left(96,404\right)=2\times 2=4 \\ \mathrm{LCM}\times \mathrm{HCF}=\mathrm{product}\mathrm{of}2\mathrm{numbers} \\ \Rightarrow \mathrm{LCM}\times 4=96\times 404 \\ \Rightarrow \mathrm{LCM}=\frac{96\times 404}{4}=9696 \end{gathered}$$