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The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?

Correct answer: C. 322

  • A. 276
  • B. 299
  • C. 322
  • D. 345

Explanation

If the HCF is 23 and the other factors of the LCM are 13 and 14, the two numbers are 23 x 13 = 299 and 23 x 14 = 322. The larger number is therefore 322. The likely mistake is choosing 299, which is the smaller number formed with the factor 13.

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