Question

Largest 4 digit square number divisible by 12 18 30

Answer 1

Answer:

8100

Step-by-step explanation:

12 = 2 * 2 * 3

18 = 2 * 3 * 3

30 = 2 * 3 * 5

LCM = 2*2*3*3*5 = 180

To make a square number divisible by 180 multiply by 5

180*5 = 2*2*3*3*5*5 = 900

To have the number as square 900 can be multiplied by either

2^2 =4 , 3^2 = 9 , 4^2 = 16

900*4 = 3600

900*9 = 8100

900*16 = 14400 ( 5 digit)

8100  > 3600

so 8100 is the Largest 4 digit square number divisible by 12 18 30