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Three boys step off together from the same place. If their steps measure is $36 cm, 48 cm$ and $54 cm$ and respectively, then the distance each should cover in complete steps is ____ cm.

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Detailed Solution

Three boys step off together from the same place. If their steps measure is

36 cm, 48 cm

and

54 cm

respectively, then the distance each should cover in complete steps is 6930 cm.
Given that,
Step measure of

1 s t

boy = 63cm.
Step measure of

2 n d

boy = 70cm.
Step measure of

3 r d

boy = 77cm.
Find the LCM of 63, 70, and 77:

63 = 3 × 3 × 7 70 = 2 × 5 × 7 77 = 7 × 11

LCM = 2×3×3×5×7×11= 6930.
Hence, the distance each should cover in complete steps is 6930 cm.

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