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Mathematics

Three boys step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. What is the minimum distance each should cover so that all can cover the same distance in complete steps?

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Answer

The required minimum distance is the LCM of 63, 70 and 77.

263, 70, 77
363, 35, 77
321, 35, 77
57, 35, 77
77, 7, 77
111, 1, 11
1, 1, 1

LCM of 63, 70 and 77 = 2 x 3 x 3 x 5 x 7 x 11 = 6930 cm.

Converting to metres and centimetres: 6930 cm = 69 m 30 cm.

Hence, the minimum distance each should cover is 6930 cm or 69 m 30 cm.

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