Question

find the largest perfect square number of 4 digit which is exactly 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

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