Question

Using Prime factorization, find the HCF and LCM of \(24,36,40\)

Answer 1

Prime factors of \(24,36,40\)
\[
\begin{aligned}
&24=2 \times 2 \times 2 \times 3=2^{3} \times 3 \\
&36=2 \times 2 \times 3 \times=2^{2} \times 3^{2} \\
&40=2 \times 2 \times 2 \times 2 \times 5=2^{3} \times 5
\end{aligned}
\]
\[
\begin{aligned}
&\operatorname{HCF}(24,36,40)=2^{2}=4 \\
&\operatorname{LCM}(24,36,40)=2^{2} \times 3^{2} \times 5=360
\end{aligned}
\]