In a morning walk three persons step off together, their steps measure 80 cm, 85 cm and 90cm respectively. What is the minimum distance each should walk so that he can cover the distance in complete steps?

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12240 cm

12250cm

12550cm

12450cm

answer is A.

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Detailed Solution

Concept-Here we get three quantities of LCM by first checking the units of the step length and then using the prime factorization method to write the factors for each length.
The LCM specifies the minimum distance each of the three must travel to cover the same distance.
You need to find the LCM of the measurements for those steps. H. Calculate the distance each needs to walk in 80 cm, 85 cm and 90 cm.
L.C.M of

, and

Therefore, the minimum distance that everyone must walk in order for everyone to walk the same distance at all stride lengths is 12240 cm.
Hence, the correct option is 1.

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