Question

The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?

Answer 1

Hello,

Let's x then number of students.

x is divisible by 12,15,18 thus by 180 (lcm)

x=180*k is a square

2²*3²*5*k= a square ==> k=5

x=180*5=900

Proof:

900/12=75

900/15=60

900/18=50

900=30²