Question

three boys step off together from same spot their steps measure 63 cm 70 cm 77 cm respectively what is the minimum distance from each should cover so that all can cover the distance in complete steps? ​

Answer 1

Answer:

6930 cm

Step-by-step explanation:

Distance covered by them will be greater than 63, 70 and 77

Minimum Distance each should cover so that all can cover the distance in complete steps = LCM (63, 70, 77)

Let us find the LCM of 63, 70 and 77

Prime factorization of 63 = 3 × 3 × 7

Prime factorization of  70 = 2 × 5 × 7

Prime factorization of  77 = 7 × 11

LCM (63, 70, 77) = 3 × 3 × 7 × 2 × 5 × 11 = 6930

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