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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 135 · 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 2, 12 and 4.
  2. 2.Find the LCM of 8, 9 and 3.
  3. 3.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  4. 4.Find the LCM of 4, 3 and 15.
  5. 5.Find the HCF of 70 and 126.
  6. 6.Find the LCM of 5, 4 and 2.
  7. 7.Find the LCM of 28 and 36.
  8. 8.Find the HCF of 63 and 36.
  9. 9.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  10. 10.Find the LCM of 2, 6 and 7.
  11. 11.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 18 and 14.
  13. 13.Find the HCF of 63 and 72.
  14. 14.Find the HCF of 84 and 98.
  15. 15.Find the LCM of 18 and 30.
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  17. 17.Find the HCF of 135 and 120.
  18. 18.Find the LCM of 7, 2 and 12.
  19. 19.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 28 and 32.
  21. 21.Find the LCM of 7, 2 and 14.
  22. 22.Find the LCM of 3, 4 and 13.
  23. 23.Find the HCF of 20 and 24.
  24. 24.Find the LCM of 5, 8 and 2.
  25. 25.Find the LCM of 15 and 9.
  26. 26.Find the LCM of 4 and 10.
  27. 27.Find the HCF of 18 and 12.
  28. 28.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  29. 29.Find the HCF of 21 and 6.
  30. 30.Find the LCM of 4, 12 and 3.
  31. 31.Find the LCM of 18 and 21.
  32. 32.Find the HCF of 24 and 30.
  33. 33.Find the LCM of 24 and 21.
  34. 34.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  35. 35.Find the LCM of 5, 13 and 15.
  36. 36.Find the HCF of 28 and 126.
  37. 37.Find the HCF of 120 and 135.
  38. 38.Find the LCM of 2 and 3.
  39. 39.Find the LCM of 16 and 20.
  40. 40.Find the LCM of 3, 12 and 15.

Answer key

  1. 12
  2. 72
  3. 6
  4. 60
  5. 14
  6. 20
  7. 252
  8. 9
  9. 27
  10. 42
  11. 21
  12. 126
  13. 9
  14. 14
  15. 90
  16. 16
  17. 15
  18. 84
  19. 10
  20. 224
  21. 14
  22. 156
  23. 4
  24. 40
  25. 45
  26. 20
  27. 6
  28. 35
  29. 3
  30. 12
  31. 126
  32. 6
  33. 168
  34. 72
  35. 195
  36. 14
  37. 15
  38. 6
  39. 80
  40. 60

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