Question
Find the HCF and LCM of 24, 36 and
60.Solution
ATQ, 24 = 23 * 3 36 = 22 * 32 60 = 22 * 3 * 5 HCF = product of common primes with smallest powers: Common primes: 2 and 3 2: minimum power = 2 - > 22 3: minimum power = 1 - > 31 HCF = 22 * 3 = 4 * 3 = 12 LCM = product of primes with highest powers: 2: max power = 3 - > 23 3: max power = 2 - > 32 5: max power = 1 - > 5 LCM = 23 * 32 * 5 = 8 * 9 * 5 = 360 Answer: HCF = 12, LCM = 360
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