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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 420 · 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 10 and 6.
  2. 2.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  3. 3.Find the HCF of 28 and 21.
  4. 4.Find the LCM of 15, 3 and 12.
  5. 5.Find the LCM of 3, 6 and 8.
  6. 6.Find the HCF of 105 and 30.
  7. 7.Find the LCM of 7, 8 and 4.
  8. 8.Find the LCM of 5 and 6.
  9. 9.Find the LCM of 3, 6 and 15.
  10. 10.Find the LCM of 8 and 9.
  11. 11.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  12. 12.Find the HCF of 45 and 72.
  13. 13.Find the HCF of 21 and 49.
  14. 14.Find the LCM of 30 and 35.
  15. 15.Find the LCM of 3, 2 and 12.
  16. 16.Find the LCM of 5, 15 and 8.
  17. 17.Find the HCF of 117 and 91.
  18. 18.Find the LCM of 6, 9 and 3.
  19. 19.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  20. 20.Find the HCF of 81 and 45.
  21. 21.Find the HCF of 88 and 33.
  22. 22.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  23. 23.Find the HCF of 21 and 14.
  24. 24.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  25. 25.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  26. 26.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  28. 28.Find the LCM of 9 and 7.
  29. 29.Find the LCM of 9 and 2.
  30. 30.Find the HCF of 24 and 32.
  31. 31.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  33. 33.Find the LCM of 3, 10 and 8.
  34. 34.Find the LCM of 15 and 9.
  35. 35.Find the HCF of 40 and 50.
  36. 36.Find the LCM of 5, 15 and 4.
  37. 37.Find the LCM of 5, 10 and 14.
  38. 38.Find the LCM of 20 and 36.
  39. 39.Find the LCM of 6 and 4.
  40. 40.Find the LCM of 20 and 24.

Answer key

  1. 30
  2. 49
  3. 7
  4. 60
  5. 24
  6. 15
  7. 56
  8. 30
  9. 30
  10. 72
  11. 35
  12. 9
  13. 7
  14. 210
  15. 12
  16. 120
  17. 13
  18. 18
  19. 16
  20. 9
  21. 11
  22. 54
  23. 7
  24. 16
  25. 48
  26. 10
  27. 18
  28. 63
  29. 18
  30. 8
  31. 63
  32. 40
  33. 120
  34. 45
  35. 10
  36. 60
  37. 70
  38. 180
  39. 12
  40. 120

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