SOLUTION: the smallest square number which is exactly divisible by 2,3,4,-9,6,18,36,60. A.900 B.1600 C.3600 D.none of these

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: the smallest square number which is exactly divisible by 2,3,4,-9,6,18,36,60. A.900 B.1600 C.3600 D.none of these      Log On


   

Question 891232: the smallest square number which is exactly divisible by 2,3,4,-9,6,18,36,60.
A.900
B.1600
C.3600
D.none of these
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4=2%5E2
9=3%5E2
6=2%2A3
18=2%2A3%5E2
36=2%5E2%2A3%5E2
60=2%5E2%2A3%2A5
LCM=2%5E2%2A3%5E2%2A5
However since this needs to be a square, all the terms should be squared.
LCM%5Bsq%5D=2%5E2%2A3%5E2%2A5%5E2
LCM%5Bsq%5D=900