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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 712 · 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, 5 and 14.
  2. 2.Find the HCF of 120 and 135.
  3. 3.Find the LCM of 4 and 5.
  4. 4.Find the LCM of 5, 12 and 8.
  5. 5.Find the LCM of 24 and 9.
  6. 6.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  7. 7.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  8. 8.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  9. 9.Find the LCM of 10, 4 and 3.
  10. 10.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  11. 11.Find the LCM of 10, 6 and 4.
  12. 12.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  14. 14.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  15. 15.Find the LCM of 16 and 28.
  16. 16.Find the LCM of 9 and 12.
  17. 17.Find the LCM of 9, 7 and 14.
  18. 18.Find the LCM of 9 and 8.
  19. 19.Find the HCF of 20 and 12.
  20. 20.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  21. 21.Find the HCF of 12 and 15.
  22. 22.Find the LCM of 25 and 30.
  23. 23.Find the HCF of 33 and 55.
  24. 24.Find the LCM of 13, 3 and 9.
  25. 25.Find the LCM of 15, 4 and 2.
  26. 26.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  27. 27.Find the LCM of 4 and 9.
  28. 28.Find the LCM of 5, 9 and 12.
  29. 29.Find the LCM of 7, 4 and 12.
  30. 30.Find the HCF of 24 and 42.
  31. 31.Find the HCF of 28 and 63.
  32. 32.Find the LCM of 48 and 42.
  33. 33.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  34. 34.Find the HCF of 45 and 120.
  35. 35.Find the LCM of 15 and 9.
  36. 36.Find the LCM of 27 and 12.
  37. 37.Find the LCM of 8 and 36.
  38. 38.Find the LCM of 2, 3 and 12.
  39. 39.Find the LCM of 3, 4 and 15.
  40. 40.Find the LCM of 4 and 7.

Answer key

  1. 140
  2. 15
  3. 20
  4. 120
  5. 72
  6. 8
  7. 14
  8. 27
  9. 60
  10. 45
  11. 60
  12. 16
  13. 63
  14. 32
  15. 112
  16. 36
  17. 126
  18. 72
  19. 4
  20. 14
  21. 3
  22. 150
  23. 11
  24. 117
  25. 60
  26. 45
  27. 36
  28. 180
  29. 84
  30. 6
  31. 7
  32. 336
  33. 25
  34. 15
  35. 45
  36. 108
  37. 72
  38. 12
  39. 60
  40. 28

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