Step meeting calculation

Peter went for a walk with his younger brother George. Peter makes steps 70 cm long, and George 45 cm. How many meters do their actions meet again if they walk on the same foot?

Final Answer:

x =  6.3 m

Step-by-step explanation:

$$\begin{gathered} k_1=70\text{cm} \\ {k}_2=45\text{cm} \\ 70=2\cdot 5\cdot 7 \\ 45=3^2\cdot 5 \\ LCM(70,45)=2\cdot 3^2\cdot 5\cdot 7=630 \\ a=LCM(k_1,k_2)=LCM(70,45)=630\text{cm} \\ x=a\to \text{m}=a:100\text{m}=630:100\text{m}=6.3\text{m}=6.3\text{m} \end{gathered}$$

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