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 $(30, 72, 432) = 2 × 3 = 6$
LCM $(30, 72, 432) = 2^4 \times 3^3 \times 5 = 2160$
$= 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 $(30, 72, 432) = 2 × 3 = 6$
LCM $(30, 72, 432) = 2^4 \times 3^3 \times 5 = 2160$
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