The least perfect square divisible by 8, 9 and 10 is found by finding the least common multiple (LCM) of these numbers and then finding the smallest perfect square that is greater than or equal to this LCM.

Step 1: Find the LCM of 8, 9, and 10. The prime factorization of 8 is 2^3, of 9 is 3^2, and of 10 is 2*5. The LCM is found by multiplying the highest power of each prime number, which gives us 2^3 * 3^2 * 5 = 360.

Step 2: Find the smallest perfect square that is greater than or equal to 360. The square root of 360 is approximately 18.97. The next whole number is 19, and 19^2 = 361.

So, the least perfect square divisible by 8, 9, and 10 is 361. However, this option is not given in the choices.

The next step is to find the square of the LCM. The LCM is 360, and 360^2 = 129600. This is a perfect square and is divisible by 8, 9, and 10. But this option is also not given in the choices.

Therefore, there seems to be a mistake in the question or the options provided. None of the options A] 4000 B] 6400 C] 3600 D] 14641 are correct.

Question

The least perfect square divisible by 8, 9 and 10 is found by finding the least common multiple (LCM) of these numbers and then finding the smallest perfect square that is greater than or equal to this LCM.

Step 1: Find the LCM of 8, 9, and 10. The prime factorization of 8 is 2^3, of 9 is 3^2, and of 10 is 2*5. The LCM is found by multiplying the highest power of each prime number, which gives us 2^3 * 3^2 * 5 = 360.

Step 2: Find the smallest perfect square that is greater than or equal to 360. The square root of 360 is approximately 18.97. The next whole number is 19, and 19^2 = 361.

So, the least perfect square divisible by 8, 9, and 10 is 361. However, this option is not given in the choices.

The next step is to find the square of the LCM. The LCM is 360, and 360^2 = 129600. This is a perfect square and is divisible by 8, 9, and 10. But this option is also not given in the choices.

Therefore, there seems to be a mistake in the question or the options provided. None of the options A] 4000 B] 6400 C] 3600 D] 14641 are correct.

Knowee AI · Accepted Answer

The least perfect square divisible by 8, 9 and 10 is found by finding the least common multiple (LCM) of these numbers and then finding the smallest perfect square that is greater than or equal to this LCM.

Step 1: Find the LCM of 8, 9, and 10. The prime factorization of 8 is 2^3, of 9 is 3^2, and of 10 is 2*5. The LCM is found by multiplying the highest power of each prime number, which gives us 2^3 * 3^2 * 5 = 360.

Step 2: Find the smallest perfect square that is greater than or equal to 360. The square root of 360 is approximately 18.97. The next whole number is 19, and 19^2 = 361.

So, the least perfect square divisible by 8, 9, and 10 is 361. However, this option is not given in the choices.

The next step is to find the square of the LCM. The LCM is 360, and 360^2 = 129600. This is a perfect square and is divisible by 8, 9, and 10. But this option is also not given in the choices.

Therefore, there seems to be a mistake in the question or the options provided. None of the options A] 4000 B] 6400 C] 3600 D] 14641 are correct.

What is the least perfect square divisible by 8, 9 and 10?Options :A] 4000B] 6400C] 3600D] 14641

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