## On morning walk, three persons step out together and their steps measure 20cm , 36 cm and 40 cm respectively. What is the minimum distance e

Question

On morning walk, three persons step out together and their steps measure 20cm , 36 cm and 40 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?​

in progress 0
3 days 2021-10-12T15:49:23+00:00 1 Answer 0 views 0

1. Given :

• On morning walk, three persons step out together and their steps measure 20cm , 36 cm and 40 cm respectively.

To find :

• The minimum distance each should walk so that each can cover the same distance in complete steps =?

Step-by-step explanation :

It is Given that,

Three persons step out together and their steps measure 20cm , 36 cm and 40 cm.

Now,

We have to find the minimum distance each should walk so that each can cover the same distance in complete steps, we have to find L.C.M. (Lowest Common Factor) of 20, 36 and 40.

The factors of these number are

20 = 2 × 2 × 5

36 = 2 × 2 × 3 × 3

40 = 2 × 2 × 2 × 5

•°• LCM = 2 × 2 × 2 × 3 × 3 × 5 = 360.

Therefore, 360 cm is the minimum distance each should walk so that each can cover the same distance in complete steps.