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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 201 · 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 6, 5 and 4.
  2. 2.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  4. 4.Find the HCF of 105 and 30.
  5. 5.Find the HCF of 15 and 27.
  6. 6.Find the LCM of 15 and 25.
  7. 7.Find the LCM of 5, 3 and 11.
  8. 8.Find the LCM of 4, 10 and 14.
  9. 9.Find the LCM of 2, 10 and 7.
  10. 10.Find the HCF of 18 and 30.
  11. 11.Find the HCF of 28 and 36.
  12. 12.Find the LCM of 14, 6 and 3.
  13. 13.Find the HCF of 104 and 39.
  14. 14.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  15. 15.Find the LCM of 4, 2 and 13.
  16. 16.Find the LCM of 12 and 18.
  17. 17.Find the LCM of 9, 6 and 4.
  18. 18.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  19. 19.Find the HCF of 40 and 15.
  20. 20.Find the HCF of 35 and 20.
  21. 21.Find the LCM of 54 and 48.
  22. 22.Find the LCM of 8, 15 and 4.
  23. 23.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  24. 24.Find the LCM of 12, 3 and 5.
  25. 25.Find the HCF of 15 and 6.
  26. 26.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  27. 27.Find the LCM of 35 and 10.
  28. 28.Find the LCM of 4 and 6.
  29. 29.Find the LCM of 18 and 8.
  30. 30.Find the LCM of 12, 10 and 4.
  31. 31.Find the LCM of 12, 3 and 9.
  32. 32.Find the HCF of 49 and 63.
  33. 33.Find the LCM of 30 and 54.
  34. 34.Find the HCF of 45 and 25.
  35. 35.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  36. 36.Find the LCM of 20 and 12.
  37. 37.Find the HCF of 9 and 24.
  38. 38.Find the HCF of 12 and 14.
  39. 39.Find the LCM of 4, 6 and 5.
  40. 40.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?

Answer key

  1. 60
  2. 42
  3. 10
  4. 15
  5. 3
  6. 75
  7. 165
  8. 140
  9. 70
  10. 6
  11. 4
  12. 42
  13. 13
  14. 15
  15. 52
  16. 36
  17. 36
  18. 45
  19. 5
  20. 5
  21. 432
  22. 120
  23. 16
  24. 60
  25. 3
  26. 24
  27. 70
  28. 12
  29. 72
  30. 60
  31. 36
  32. 7
  33. 270
  34. 5
  35. 54
  36. 60
  37. 3
  38. 2
  39. 60
  40. 27

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