Question

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

Answer 1

Answer:

Step-by-step explanation:

We have to find the LCM of 40 cm, 42 cm and 45 cm to get the required minimum distance. Because we are asked the minimum distance

 Now,

 40 = 2 × 2 × 2 × 5,

 42 = 2 × 3 × 7

45 = 3 × 3 × 5

∴ LCM (40, 42, 45) = 2 × 3 × 5 × 2 × 2 × 3 × 7 = 30 × 12 × 7 = 210 × 12 = 2520

Minimum distance each should walk 2520 cm. so that, each can cover the same distance in complete steps.

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