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SSC MTS 2021 · PYQ · LCM and HCF · medium

The LCM of two positive integers is twice the larger number and the HCF of the two numbers is 3. The smaller number is:

  1. A.6✓ Correct
  2. B.8
  3. C.10
  4. D.9

Explanation

HCF = 3, so numbers are 3a and 3b. LCM = 2 × larger = 2 × 3a = 6a. Also LCM = 3×a×b → 6a = 3ab → b = 2. Smaller number = 3b = 6.
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