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Home › Quantitative Aptitude › LCM and HCF

LCM and HCF — Quantitative Aptitude Questions & Practice

Practise 172 LCM and HCF questions from Quantitative Aptitude for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on LCM and HCF — with answers

Try each question first, then open the answer. Explanations are included.

1. Find the LCM of 10 and 30.

  1. A22
  2. B30
  3. C24
  4. D36
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Answer: B

LCM = product / HCF = 10 x 30 / 10 = 30.

2. Find the LCM of 41 and 45.

  1. A1384
  2. B1660
  3. C1753
  4. D1845
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Answer: D

LCM of 41 and 45 = (a x b)/HCF = (41 x 45)/1 = 1845.

3. Find the HCF of 18 and 41.

  1. A26
  2. B1
  3. C21
  4. D5
Show answer

Answer: B

HCF of 18 and 41 is the largest number that divides both exactly = 1.

4. Find the HCF of 44 and 52.

  1. A4
  2. B2
  3. C7
  4. D14
Show answer

Answer: A

HCF of 44 and 52 is the largest number that divides both exactly = 4.

5. Find the LCM of 16 and 39.

  1. A468
  2. B530
  3. C624
  4. D686
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Answer: C

LCM of 16 and 39 = (a x b)/HCF = (16 x 39)/1 = 624.

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