The least perfect square which is divisible by 3, 4, 5, 6, 9 is :Select an answerA44100B1200C2500D3600

To find the least perfect square divisible by 3, 4, 5, 6, and 9, we first need to find the least common multiple (LCM) of these numbers.

Step 1: Prime factorization of each number 3 = 3 4 = 2^2 5 = 5 6 = 2*3 9 = 3^2

Step 2: The LCM is the product of the highest powers of all the primes that appear in the factorization of each number. So, LCM = 2^2 * 3^2 * 5 = 180

Step 3: Now, we need to make this LCM a perfect square. To do this, we need to multiply it by a number that will make all the powers of the prime factors even (since a perfect square has even powers of primes in its factorization). The power of 2 and 3 in the LCM is already even, but the power of 5 is not. So, we multiply the LCM by 5 to make the power of 5 even. So, the least perfect square divisible by 3, 4, 5, 6, and 9 is 180*5 = 900.

However, none of the options (A: 44100, B: 1200, C: 2500, D: 3600) match this answer. There seems to be a mistake in the options provided.