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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 151 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 4, 2 and 14.
  2. 2.Find the HCF of 70 and 20.
  3. 3.Find the LCM of 14, 12 and 3.
  4. 4.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  5. 5.Find the HCF of 39 and 26.
  6. 6.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  7. 7.Find the LCM of 14, 9 and 3.
  8. 8.Find the LCM of 8 and 3.
  9. 9.Find the LCM of 28 and 20.
  10. 10.Find the LCM of 6 and 21.
  11. 11.Find the HCF of 55 and 44.
  12. 12.Find the LCM of 18 and 21.
  13. 13.Find the LCM of 8, 3 and 6.
  14. 14.Find the LCM of 10, 5 and 3.
  15. 15.Find the LCM of 10 and 45.
  16. 16.Find the LCM of 4, 8 and 3.
  17. 17.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  18. 18.Find the HCF of 25 and 15.
  19. 19.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  20. 20.Find the HCF of 14 and 21.
  21. 21.Find the HCF of 18 and 45.
  22. 22.Find the LCM of 3, 5 and 8.
  23. 23.Find the HCF of 35 and 14.
  24. 24.Find the LCM of 12, 10 and 3.
  25. 25.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 6, 7 and 4.
  27. 27.Find the LCM of 5 and 7.
  28. 28.Find the LCM of 2, 3 and 4.
  29. 29.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  30. 30.Find the LCM of 10, 14 and 3.
  31. 31.Find the LCM of 9, 2 and 14.
  32. 32.Find the LCM of 35 and 15.
  33. 33.Find the LCM of 4 and 10.
  34. 34.Find the LCM of 3, 6 and 5.
  35. 35.Find the LCM of 2, 9 and 5.
  36. 36.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  37. 37.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  38. 38.Find the HCF of 126 and 28.
  39. 39.Find the LCM of 15, 2 and 10.
  40. 40.Find the HCF of 22 and 33.

Answer key

  1. 28
  2. 10
  3. 84
  4. 10
  5. 13
  6. 56
  7. 126
  8. 24
  9. 140
  10. 42
  11. 11
  12. 126
  13. 24
  14. 30
  15. 90
  16. 24
  17. 42
  18. 5
  19. 42
  20. 7
  21. 9
  22. 120
  23. 7
  24. 60
  25. 27
  26. 84
  27. 35
  28. 12
  29. 40
  30. 210
  31. 126
  32. 105
  33. 20
  34. 30
  35. 90
  36. 32
  37. 27
  38. 14
  39. 30
  40. 11

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