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

Question

What is the least perfect square divisible by 8, 9 and 10?Options :A] 4000B] 6400C] 3600D] 14641
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Solution 1

The least perfect square divisible by 8, 9 and 10 is found by:

  1. Prime factorizing the numbers:

    • 8 = 2^3
    • 9 = 3^2
    • 10 = 2*5
  2. Taking the highest power of each prime from the factorizations:

    • For 2, the highest power is 3 (from 8)
    • For 3, the highest power is 2 (from 9)

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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