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Using Prime factorization, find the HCF and LCM of $24,36,40$
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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}
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