Question

What is the smallest square number which is divisible by 2 4 5 6 and 9?

Answer 1

LCM of 2, 4 , 5 , 6 , 9 is 180

180 = 2*2*3*3*5

As we can we it has pairs of 2 and 3 but not of 5 so multiply it by 5

180*5 = 900

Hence the answer is 900

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Answer 2

Answer:

Required number is 900.

Step-by-step explanation:

Given = 2 , 4 , 5 , 6 , 9

We need to find Smallest Square number divisible by given numbers.

Prime Factorization of 2 , 4 , 5 , 6 , 9

2 = 2  

4 = 2 × 2

5 = 5

6 = 2 × 3

9 = 3 × 3

LCM of 2 , 4 , 5 , 6 , 9 = 2 × 2 × 3 × 3 × 5 = 180

Now to find least Square number we complete the pairs.

we just needed one 5 to complete the pair.

We get, Least Square number = 2 × 2 × 3 × 3 × 5 × 5 = 900

Therefore, Required number is 900.