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Find the least square number which is divisible by 6, 8 and 15Options300360037003900

Question

Find the least square number which is divisible by 6, 8 and 15

Options:

  • 300
  • 3600
  • 3700
  • 3900
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Solution

To find the least square number which is divisible by 6, 8, and 15, we first need to find the least common multiple (LCM) of these numbers.

Step 1: Prime factorization of the numbers 6 = 2 * 3 8 = 2^3 15 = 3 * 5

Step 2: Find the LCM The LCM is found by multiplying the highest power of all the prime numbers in the factorization. LCM = 2^3 * 3 * 5 = 120

Step 3: Find the square of the LCM The square of 120 is 14400.

Step 4: Check the options Among the given options, 14400 is not present. Therefore, none of the options is the least square number divisible by 6, 8, and 15.

This problem has been solved

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