Question

Three boys step off together from the same spot. Their steps measure $52\mathrm{cm},65\mathrm{cm}$and $78\mathrm{cm}$respectively . What is the minimum distance each should cover so that all can cover the distance in complete steps.

Answer 1

Since we know that the required minimum distance will be equal to the LCM of measures of their steps.

Step measure of 1st Boy = $52\mathrm{cm}$

Step measure of 2nd Boy = $65\mathrm{cm}$

Step measure of 3rd Boy = $78\mathrm{cm}$

L.C.M. $(52,65,78)=780\mathrm{cm}$

Hence, the minimum distance each should cover so that all can cover the distance in complete steps is $780\mathrm{cm}.$