Question

What is the minimum number of students that can be arranged either 28 to a row or 36 to a row?

Answer 1

The number of chairs will need to be a multiple of 27 (so they can have “m” rows of 27 chairs each, for a total of 27m chairs) and also a multiple of 33 (so they can have “n” rows of 33 chairs each, for a total of 33n chai

If you set 27m equal to the LCM, what value do you get for “m”? (This is the number of 27-chairs-each rows you can get.)

If you get 33n equal to the LCM, what value do you get for “n”? (This is the number of 33-chairs-each rows you can get.)

Note: This is only the SMALLEST number of chairs for which you can set up the chairs in the stipulated manner. Any multiple of the LCM will work, also.