Question

Three boys step off from the same place if there steps measures 48cm 60 sentimeter and 75cm respectively at what distance from the starting point will they again step together?​

Answer 1

Step measure of 1

st

Boy=63cm

Step measure of 2

nd

Boy=70cm

Step measure of 3

rd

Boy=77cm

LCM of 63,70,77

LCM=2×3×3×5×7×11=6930

Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.

2 ∣

63,70,77

3 ∣

63,35,77

3 ∣

21,35,77

5 ∣

7,35,77

7 ∣

7,7,77

11 ∣

1,1,11

1,1,1

Answer 2

Answer:

The least distance from the starting point where they will step together will be given by the LCM of 36, 48, and 54. ∴ They will step together again at a distance of 432 cm from the starting point.