Question
Using prime factorization, find the $HCF$ and $LCM$ of:
$30, 72, 432$
$30, 72, 432$
✓
Answer
$ 30=2 \times 3 \times 5 $
$ 72=2 \times 2 \times 2 \times 3 \times 3=2^3 \times 3^2 $
$ 432=2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3=2^4 \times 3^3 $
$ \operatorname{HCF}(30,72,432)=2 \times 3=6 $
$ \operatorname{LCM}(30,72,432)=2^4 \times 3^3 \times 5=2160$
$ 72=2 \times 2 \times 2 \times 3 \times 3=2^3 \times 3^2 $
$ 432=2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3=2^4 \times 3^3 $
$ \operatorname{HCF}(30,72,432)=2 \times 3=6 $
$ \operatorname{LCM}(30,72,432)=2^4 \times 3^3 \times 5=2160$
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