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 covered so that all can cover the distance in complete steps?
Answers
Answer:
Ncert solutions
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Mathematics
Chapters in NCERT Solutions - Mathematics, Class 6
Exercises in Playing With Numbers
Question 6
Q2) 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 distance in complete steps?
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SOLUTION:
Here, the required minimum distance will be equal to LCM of measures of their steps,
LCM of 63cm, 70cm and 77cm.
the LCM of 63cm, 70cm and 77cm =2\times3\times3\times5\times7\times11=6930=2×3×3×5×7×11=6930
hence the required minimum distance = 6930cm
