Question
Find the difference between sum of digits of LCM and
HCF of 36, 84 and 132.Solution
36 = 2² × 3² 84 = 2² × 3 × 7 And 132 = 2² × 3 × 11 So, HCF = 2² × 3 = 12 So, sum of digits of HCF = 1 + 2 = 3 And LCM = 2² × 3² × 7 × 11 First, 2² = 4 So, 4 × 3² = 4 × 9 = 36 And 36 × 7 = 252 And 252 × 11 = 2772 And sum of digits of LCM = 2 + 7 + 7 + 2 = 18 So, required difference = 18 - 3 = 15 Hence, option a.
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