Question

Three boys step off together from the same spot. Their steps measure $$63$$cm, $$70$$cm and $$77$$cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps?

Answer 1

Step measure of $$1^{st}$$ Boy$$=63$$cm

Step measure of $$2^{nd}$$ Boy$$=70$$cm

Step measure of $$3^{rd}$$ Boy$$=77$$cm

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 $$6930$$ cm.

$$2$$ $$|\underline{63, 70, 77}$$

$$3$$ $$|\underline{63, 35, 77}$$

$$3$$ $$|\underline{21, 35, 77}$$

$$5$$ $$|\underline{7, 35, 77}$$

$$7$$ $$|\underline{7, 7, 77}$$

$$11$$ $$|\underline{1, 1, 11}$$

$$1, 1, 1$$