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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 675 · 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 HCF of 4 and 14.
  2. 2.Find the LCM of 18 and 8.
  3. 3.Find the LCM of 18 and 15.
  4. 4.Find the HCF of 18 and 15.
  5. 5.Find the LCM of 5, 10 and 12.
  6. 6.Find the LCM of 12, 6 and 11.
  7. 7.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  8. 8.Find the LCM of 20 and 25.
  9. 9.Find the LCM of 10, 6 and 14.
  10. 10.Find the LCM of 8, 7 and 3.
  11. 11.Find the LCM of 4, 5 and 15.
  12. 12.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  13. 13.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  14. 14.Find the LCM of 20 and 32.
  15. 15.Find the LCM of 35 and 10.
  16. 16.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 5, 13 and 10.
  18. 18.Find the LCM of 12, 7 and 14.
  19. 19.Find the LCM of 2, 8 and 3.
  20. 20.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  21. 21.Find the LCM of 15 and 40.
  22. 22.Find the LCM of 18 and 48.
  23. 23.Find the LCM of 30 and 42.
  24. 24.Find the HCF of 20 and 45.
  25. 25.Find the LCM of 15 and 21.
  26. 26.Find the LCM of 2, 14 and 9.
  27. 27.Find the LCM of 9 and 4.
  28. 28.Find the LCM of 24 and 27.
  29. 29.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  30. 30.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  31. 31.Find the LCM of 12 and 20.
  32. 32.Find the LCM of 10 and 14.
  33. 33.Find the HCF of 10 and 16.
  34. 34.Find the HCF of 6 and 9.
  35. 35.Find the LCM of 42 and 48.
  36. 36.Find the LCM of 14, 2 and 3.
  37. 37.Find the LCM of 2, 13 and 10.
  38. 38.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  39. 39.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  40. 40.Find the HCF of 40 and 30.

Answer key

  1. 2
  2. 72
  3. 90
  4. 3
  5. 60
  6. 132
  7. 40
  8. 100
  9. 210
  10. 168
  11. 60
  12. 6
  13. 6
  14. 160
  15. 70
  16. 40
  17. 130
  18. 84
  19. 24
  20. 21
  21. 120
  22. 144
  23. 210
  24. 5
  25. 105
  26. 126
  27. 36
  28. 216
  29. 42
  30. 30
  31. 60
  32. 70
  33. 2
  34. 3
  35. 336
  36. 42
  37. 130
  38. 6
  39. 32
  40. 10

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