Lesson exercising

In the lesson on physical education, pupils are first divided into three groups so that each has the same number. They redistributed, but into six groups. And again, it was the same number of children in each group. Finally, they were divided into nine equal groups. Again, no child has left.
How many children practiced the lesson of physical education if they were not more than 30? Find all solutions.

Correct answer:

n =  18

Step-by-step explanation:

n>30 3 ...  prime number 6=23 9=32 LCM(3,6,9)=232=18  n=LCM(3,6,9)=18

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