Question

a morning walk three persons step off together and their steps 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 steps​

Answer 1

here's your answer

360 cm

Answer 2

Answer:

The minimum distance is 360 cm.

Step-by-step explanation:

It is given that three persons steps measure are 30 cm, 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​, we have to find L.C.M. of 30, 36 and 40.

The factors of these number are

$30=2\times 3\times 5$

$36=2\times 2\times 3\times 3$

$40=2\times 2\times 2\times 5$

The L.C.M. of 30, 36 and 40 is

$L.C.M.=2\times 2\times 2\times 3 \times 3\times 5=360$

Therefore the minimum distance is 360 cm.