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 result:

n =  36

Solution:

2 ... primenumber 4=22 6=2⋅3 9=32 LCM(2,4,6,9)=22⋅32=36  n=LCM(2,4,6,9)=362 \ ... \ 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

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