Question

Three boys step off together from the same spot. Their steps measure$63cm,70cmand77cm$ respectively. What is the maximum distance each should cover so that all can cover distance in complete steps?

Answer 1

Here, the required minimum distance will be equal to the LCM of measures of their steps.
Given,
Step measure of $1$st boy$=63cm$

Step measure of $2$nd boy$=70cm$

Step measure of $3$rd boy$=77cm$

Find the LCM of all boys steps:

LCM of $63,70,77$

$LCM=2\times 3\times 3\times 5\times 7\times 11=6930$

Hence, the minimum distance each should cover so that all can cover the distance in complete steps is $6930cm$.