Question
Find the HCF and LCM of 24, 36 and 60.
Solution
Prime factors: 24 = 2³ × 3 36 = 2² × 3² 60 = 2² × 3 × 5 HCF = product of common primes with smallest powers = 2² × 3 = 4 × 3 = 12 LCM = product of all primes with highest powers = 2³ × 3² × 5 = 8 × 9 × 5 = 72 × 5 = 360 Answer: HCF = 12, LCM = 360.
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