Question

Find the HCF and LCM of 90, 144 by prime factorisation method​

Answer 1

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Find the HCF and LCM of 90, 144 by prime factorisation method

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90 = 2 × 3² × 5

144 = 2⁴ × 3²

H.C.F = 2 × 3² = 18

L.C.M = 2⁴ × 3² × 5 = 720

Answer 2

720

Explanation:

$90 = 2 \times {3}^{2} \times 5$

$144 = {2}^{2} \times {2}^{2} \times {3}^{2}$

$hcf = 2 \times {3}^{2} = 18$

$lcm = {2}^{4} \times {3}^{2} \times 5 = 720$