Athletics team

All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athletes of all.

Correct answer:

x =  35

Step-by-step explanation:

$$\begin{gathered} 4=2^2 \\ 5...\text{ prime number} \\ 6=2\cdot 3 \\ 7...\text{ prime number} \\ LCM(4,5,6,7)=2^2\cdot 3\cdot 5\cdot 7=420 \\ a=LCM(4,5,6,7)=420 \\ x=a/12=420/12=35 \end{gathered}$$

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