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