Question
Find the HCF and LCM of 36, 45 and
60.Solution
Prime factors: 36 = 2² × 3² 45 = 3² × 5 60 = 2² × 3 × 5 HCF = product of common primes with smallest powers = 3¹ = 3 LCM = product of all primes with highest powers = 2² × 3² × 5 = 4 × 9 × 5 = 180 Answer: HCF = 3, LCM = 180
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