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# 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

2. 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?

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Step measure of 1 st  Boy =63cm

Step measure of 2 nd  Boy =70cm

Step measure of 3 rd  Boy =77cm

LCM of 63,70,77 :

$\begin{array}{|c|c|}\hline 2 & {63,70,77} \\ \hline 3 & {63,35,77} \\ \hline 3 & {21,35,77} \\ \hline 5 & {7,35,77} \\ \hline 7 & {7,7,11} \\ \hline 11 & {1,1} \\ \hline\end{array}$

$\begin{array}{l}{\text { L.C.M. of } 63,70 \text { and } 77=7 \times 9 \times 10 \times 11=6930 \mathrm{cm} .} \\ {\text { Therefore, the minimum distance is } 6930 \mathrm{cm} .}\end{array}$

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