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H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is___________?

Correct answer: A. 22 * 35 * 72

  • A. 22 * 35 * 72
  • B. 22 * 53 * 72
  • C. 25 * 52 * 72
  • D. 23 * 35 * 72

Explanation

Using the superscript notation, the required L.C.M. is 2^4 x 3^5 x 5^2 x 7^2. The third number must reduce the common factor of 3240 and 3600 from 2^3 x 3^2 x 5 to 2^2 x 3^2, while supplying 3^5 and 7^2, so it is 2^2 x 3^5 x 7^2. The likely mistake is choosing an option with an incorrect power of 2 or 5.

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