Three boys step off together from the same place. If their step measure 36 cm ,48cm,54 cm,
at what distance from the starting point will they again step together
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Step-by-step explanation:
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.
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If all three of them are walking at the same speed, then their feet will match at a distance which is the the lowest common multiple (LCM) of 30 , 36 and 48 cm.
30=2×3×5
36=22×32
48=24×3
The LCM of the three numbers is
24×32×5=720
So they will step off together again at a distance of 720 cm.
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