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