SOLUTION: The boys of a school can be arranged in 12,15 and 18 equal rows and also into a solid square. What is the least number of boys that the school can have?

Question 1041785: The boys of a school can be arranged in 12,15 and 18 equal rows and also
into a solid square. What is the least number of boys that the school can have?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The boys of a school can be arranged in 12,15 and 18 equal rows and also
into a solid square.
What is the least number of boys that the school can have?
:
find the least common multiple of 12, 15 and 18, use prime factoring
12: 2*2*3
15: 3*5
18: 2*3*3
therefore
2*2*3*3*5 = 180 but not a perfect square
find a multiple of 180 that is a perfect square,
That would be 3600 boys

RELATED QUESTIONS
The boys of a school can be arranged in 12,15 and 18 equal rows and also into a solid... (answered by jorel1380)

some students of school can be arranged into 12,15 and18 equal rows and also into a... (answered by jorel1380)

Chairs are arranged in the hall into 18 short rows and 7 long rows. Each long row has 18... (answered by josgarithmetic,greenestamps,ikleyn,Edwin McCravy)

Mrs. Jones has 18 boys and 27 girls in choirs. She wants them in equal rows. Only boys or (answered by Edwin McCravy,KMST,ikleyn)

while arranging certain students of a school in rows containing equal number of students: (answered by nihar*2013)

when the children in a school were arranged for a mass drill in equal rows . therewere 5... (answered by KMST)

when the children in a school were arranged for a mass drill in equal rows . there were 5 (answered by KMST)

Suppose Solid A and Solid B are similar. Solid A has an edge length of 18 cm, and the... (answered by ikleyn)

PLEASE HELP ME SOLVE THESE PROBLEMS: 1. A SQUARE AND RECTANGLE HAVE EQUAL AREAS. IF THE... (answered by drj)