Question

On a morning walk, three person step out together and their step measure 30 cm, 36 cm and 40 cm respectively. what is the minimum distance each should walk so that each can cover the same distance in complete step? ​

Answer 1

Answer:

720 cm

Step-by-step explanation:

This is LCM.

Their LCM is 720

Answer 2

Answer:

The minimum equal distance they cover is 360 cm.

Step-by-step explanation:

Given: Length of steps of 3 persons are 30 cm, 36 cm, and 40 cm

To find: Minimum equal Distance they cover in complete steps.

The common Minimum value of numbers is The LCM (lowest common multiple) of those no.

So, To find the minimum equal distance that they cover we find the LCM of 30, 36, 40.

We use the factorization method to find LCM,

30 = 2 × 3 × 5

36 = 2 × 2 × 3 × 3

40 = 2 × 2 × 2 × 5

⇒ LCM = 2 × 3 × 5 × 2 × 2 × 3

= 360

Therefore, The minimum Equal Distance they cover is 360 cm.

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