Question
Using prime factorization, find the $HCF$ and $LCM$ of:
$24, 36, 40$
$24, 36, 40$
✓
Answer
$ 24=2 \times 2 \times 2 \times 3=2^3 \times 3 $
$ 36=2 \times 2 \times 3 \times 4=2^2 \times 3^2 $
$ 40=2 \times 2 \times 2 \times 5=2^3 \times 5 $
$ \operatorname{HCF}(24,36,40)=2^2=4 $
$ \operatorname{LCM}(24,36,40)=2^3 \times 3^2 \times 5=360$
$ 36=2 \times 2 \times 3 \times 4=2^2 \times 3^2 $
$ 40=2 \times 2 \times 2 \times 5=2^3 \times 5 $
$ \operatorname{HCF}(24,36,40)=2^2=4 $
$ \operatorname{LCM}(24,36,40)=2^3 \times 3^2 \times 5=360$
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