Dance ensemble

The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six and nine. How many dancers have an ensemble?

Correct answer:

n =  36

Step-by-step explanation:

$$\begin{gathered} 2\mathrm{.}\mathrm{.}\mathrm{.}\text{ prime number } \\ 4=2^2 \\ 6=2\cdot 3 \\ 9=3^2 \\ LCM(2,4,6,9)=2^2\cdot 3^2=36 \\ n=LCM(2,4,6,9)=36 \end{gathered}$$

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