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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 659 · 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 8, 9 and 6.
  2. 2.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  3. 3.Find the LCM of 4, 6 and 3.
  4. 4.Find the HCF of 88 and 55.
  5. 5.Find the LCM of 4 and 18.
  6. 6.Find the HCF of 24 and 108.
  7. 7.Find the HCF of 52 and 39.
  8. 8.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  9. 9.Find the LCM of 6 and 16.
  10. 10.Find the LCM of 11, 15 and 3.
  11. 11.Find the LCM of 11, 7 and 2.
  12. 12.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  13. 13.Find the LCM of 3, 9 and 14.
  14. 14.Find the LCM of 12 and 28.
  15. 15.Find the LCM of 6, 4 and 12.
  16. 16.Find the LCM of 42 and 54.
  17. 17.Find the HCF of 105 and 120.
  18. 18.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 4, 15 and 5.
  20. 20.Find the LCM of 15, 3 and 7.
  21. 21.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  22. 22.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  23. 23.Find the LCM of 8 and 36.
  24. 24.Find the HCF of 30 and 105.
  25. 25.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 10, 2 and 7.
  28. 28.Find the HCF of 50 and 80.
  29. 29.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  30. 30.Find the HCF of 12 and 8.
  31. 31.Find the LCM of 6 and 21.
  32. 32.Find the HCF of 63 and 36.
  33. 33.Find the LCM of 45 and 25.
  34. 34.Find the LCM of 14, 10 and 15.
  35. 35.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  36. 36.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 27 and 12.
  38. 38.Find the HCF of 52 and 65.
  39. 39.Find the LCM of 8, 2 and 15.
  40. 40.Find the LCM of 6, 10 and 14.

Answer key

  1. 72
  2. 8
  3. 12
  4. 11
  5. 36
  6. 12
  7. 13
  8. 56
  9. 48
  10. 165
  11. 154
  12. 21
  13. 126
  14. 84
  15. 12
  16. 378
  17. 15
  18. 30
  19. 60
  20. 105
  21. 45
  22. 40
  23. 72
  24. 15
  25. 35
  26. 56
  27. 70
  28. 10
  29. 42
  30. 4
  31. 42
  32. 9
  33. 225
  34. 210
  35. 40
  36. 35
  37. 3
  38. 13
  39. 120
  40. 210

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