Question

On a morning walk,three persons step off together and their steps measure 40cm,42cm,45cm respectively.what is the minimum distance each should walk so that each can cover the same disance in complete steps?

Answer 1

LCM = Min. Distance 2 | 40, 42, 45 3| 20, 21 , 45 5| 20, 7 , 15 | 4, 7 , 3 LCM - 2x2x3x5x4x7x3 = 12 X 20 X 21 = 420x12 = 5040 (Ans) The minimum distance that they can walk in complete steps is 5040cm.

Answer 2

Answer:

Step-by-step explanation:

LCM(40,42,45)

first find LCM of 40

LCM(40)=2×2×2×5=2³×5

LCM(42)=2×3×7=2×3×7

LCM(45)=3×3×5=3²×5

LCM(40,42,45)=

2³×3²×7×5= 8×9×7×5=504×5= 2520