Question
Four friends are jogging on a circular track starting
from the same point. Their strides are 48 cm, 54 cm, and 72 cm respectively. What is the least distance each of them should cover so that all three land on the starting point together again?Solution
ATQ, Desired minimum distance = LCM of 48, 54 and 72 48 = 2 × 2 × 2 × 2 × 3 54 = 2 × 3 × 3 × 3 72 = 2 × 2 × 2 × 3 × 3 LCM = 2⁴ × 3³ = 16 × 27 = 432 cm
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