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Question
Three boys step off together from the same place. If their steps measure 36 cm, 48 cm and 54 cm, at what distance from the starting point will they again step together?
Solution
From the starting point, they will step together again when they travel a distance that is exactly divisible by the lengths of their steps.
The least distance from the starting point where they will step together will be given by the LCM of 36, 48, and 54.
The required distance = 2 × 2 ×3 × 3 × 3 × 2 × 2
= 16 × 27
= 432 cm
∴ They will step together again at a distance of 432 cm from the starting point.
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