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Q.

Three boys step off together from the same spot and 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 distance in complete steps?

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a

6390 cm

b

6930 cm

c

6730 cm

d

6370 cm

answer is B.

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Detailed Solution

It is given that three boys step off together from the same spot and their steps measure 63 cm, 70 cm and 77 cm respectively.
Now, we have to find what is the minimum distance each should cover so that all can cover the distance in complete steps.
Prime factorization of 63, 70, 77 is given by,
Question Image

Question Image

LCM is 2×3×3×5×7×11= 6930.
The minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.
Therefore, option 2 is correct.

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