Question

find the smallest square number that is divisible by each of the numbers 4,9 and 10​

Answer 1

Answer:

Let us find LCM of 4, 9 and 10

4 = 2 x 2

9 = 3 x 3

10 = 5 x 2

So, LCM = 2 2 x 3 2 x 5 = 180

Now the LCM gives us a clue that if 180 is multiplied by 5 then it will become a perfect square.

The Required number = 180 x 5 = 900

Step-by-step explanation:

Answer 2

Answer:

30^2 = 900

Step-by-step explanation:

Lcm of 4 9 and 10 is 180

2×2×3×3×5 = 180

2^2 × 3^2 × 5 = 180.

2^2 × 3^2 × 5^2 = 180 × 5

                           = 900.

The smallest square number which is divisible by 4 , 9 , 10 is 900

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