Question
Find the difference between sum of digits of LCM and HCF
of 54, 72 and 90.Solution
54 = 2 × 3³ 72 = 2³ × 3² And 90 = 2 × 3² × 5 So, HCF = 2 × 3² = 18 So, sum of digits of HCF = 1 + 8 = 9 And LCM = 2³ × 3³ × 5 = 540 And sum of digits of LCM = 5 + 4 + 0 = 9 So, required difference = 9 - 9 = 0 Hence, option a.
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