Question

What is the smallest square no which is divisible by 2 4 5 6 9?

Answer 1

Answer:

900

Step-by-step explanation:

2 = 2 ^1

4 = 2 ^2

5 = 5 ^1

6 = 2 ^1 × 3 ^1

9 = 3 ^2

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

Now, 180 = 2 × 2 × 3 × 3 × 5 = 2 ^2 × 3 ^2 × 5

Hence, it must be multiplied with 5 to make it a perfect square.

Thus, ANS = 180 × 5 = 900