Question

three persons step off together for a morning walk their steps measure 80 cm 85cm and 90 cm respectively what is the minimum distance each person should walk so that all of them can cover that same distance in complete steps is morning walk good for health do you go for morning walk ​

Answer 1

Prime factorisation of a natural number is unique.

80= 2 × 2 × 2 × 2 × 5

85 = 5 × 17

90 = 2 × 3 × 3 × 5

LCM of 80,85 and 90 =2 ×2 × 2 × 2 × 3 × 3 × 5 × 17 = 12240

Minimum distance each should walk so that they can cover the distancein complete

steps = 12240 cm = 122.4 m

Hence, the minimum distance each should walk so that all can cover the same distance in complete steps is 12240 cm. Given : Three persons step off together, their steps measure 80cm, 85 cm and 90 cm respectively.