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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 300 · 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, 10 and 7.
  2. 2.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  3. 3.Find the HCF of 60 and 75.
  4. 4.Find the HCF of 4 and 18.
  5. 5.Find the HCF of 126 and 28.
  6. 6.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  7. 7.Find the LCM of 28 and 16.
  8. 8.Find the LCM of 24 and 18.
  9. 9.Find the LCM of 8, 11 and 2.
  10. 10.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  11. 11.Find the HCF of 18 and 15.
  12. 12.Find the HCF of 42 and 56.
  13. 13.Find the LCM of 30 and 12.
  14. 14.Find the LCM of 4, 11 and 10.
  15. 15.Find the HCF of 112 and 98.
  16. 16.Find the HCF of 15 and 25.
  17. 17.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  19. 19.Find the LCM of 35 and 10.
  20. 20.Find the HCF of 45 and 72.
  21. 21.Find the LCM of 24 and 30.
  22. 22.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  25. 25.Find the LCM of 9 and 4.
  26. 26.Find the LCM of 3, 14 and 7.
  27. 27.Find the LCM of 12 and 18.
  28. 28.Find the HCF of 8 and 12.
  29. 29.Find the HCF of 117 and 26.
  30. 30.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  31. 31.Find the HCF of 55 and 44.
  32. 32.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  33. 33.Find the LCM of 2 and 3.
  34. 34.Find the LCM of 6 and 15.
  35. 35.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  36. 36.Find the HCF of 30 and 70.
  37. 37.Find the LCM of 6, 12 and 7.
  38. 38.Find the HCF of 135 and 30.
  39. 39.Find the LCM of 5, 6 and 14.
  40. 40.Find the LCM of 10 and 14.

Answer key

  1. 70
  2. 14
  3. 15
  4. 2
  5. 14
  6. 6
  7. 112
  8. 72
  9. 88
  10. 25
  11. 3
  12. 14
  13. 60
  14. 220
  15. 14
  16. 5
  17. 27
  18. 25
  19. 70
  20. 9
  21. 120
  22. 16
  23. 14
  24. 4
  25. 36
  26. 42
  27. 36
  28. 4
  29. 13
  30. 18
  31. 11
  32. 18
  33. 6
  34. 30
  35. 30
  36. 10
  37. 84
  38. 15
  39. 210
  40. 70

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