Question

In a morning walk, three persons step off together. There steps measures 80cm, 85cm, 90 cm respectively. What is minimum distance each should walk so that all can cover same distance in complete steps ? ​

Answer 1

Answer:

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.

Answer 2

Answer:

12240

Step-by-step explanation:

We have to find the L.C.M of the measures of their steps i.e. 80 cm, 85 cm, and 90 cm, to calculate the required distance each should walk.

L.C.M of 80 cm, 85 cm, and 90 cm.

80 = 2⁴ x 5

85 = 17 x 5

90 = 2 x 3 x 3 x 5

L.C.M of 80, 85 and 90 = 2⁴ x 3 x 3 x 5 x 17

L.C.M of 80, 85 and 90 = 12240 cm

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