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Question

In a morning walk 3 girls step together, their steps measures 80cm, 85cm,90cm respectively, what minimum distance should each walk so that all can cover the distance in complete steps

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Solution

Minimum distance that each should walk = LCM of 80, 85 and 90.

80 = 2 x 2 x 2 x 2 x 5
85 = 17 x 5
90 = 2 x 3 x 3 x 5

LCM = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 = 12240
Therefore, the minimum distance each should walk = 122 m 40 cm

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