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Find the least square number which is divisible by 10, 12, 15 and 18?

Correct answer: B. 900

  • A. 1600
  • B. 900
  • C. 3600
  • D. 2500Islamic Studies Quiz

Explanation

The least common multiple of 10, 12, 15 and 18 is 180 = 2² x 3² x 5. To make this a square, the factor 5 must also occur twice, so the least square multiple is 2² x 3² x 5² = 900. The likely mistake is option c, which is a square multiple but not the least one.

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