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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 208 · 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 14, 4 and 2.
  2. 2.Find the LCM of 12, 6 and 2.
  3. 3.Find the LCM of 6 and 21.
  4. 4.Find the LCM of 14, 7 and 15.
  5. 5.Find the HCF of 63 and 28.
  6. 6.Find the HCF of 12 and 8.
  7. 7.Find the HCF of 36 and 63.
  8. 8.Find the LCM of 4, 10 and 9.
  9. 9.Find the HCF of 27 and 72.
  10. 10.Find the LCM of 12 and 42.
  11. 11.Find the HCF of 81 and 45.
  12. 12.Find the HCF of 65 and 52.
  13. 13.Find the LCM of 10, 2 and 6.
  14. 14.Find the HCF of 40 and 70.
  15. 15.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  17. 17.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  18. 18.Find the HCF of 117 and 26.
  19. 19.Find the LCM of 10, 4 and 7.
  20. 20.Find the LCM of 15 and 40.
  21. 21.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  22. 22.Find the LCM of 4, 2 and 13.
  23. 23.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  24. 24.Find the LCM of 20 and 16.
  25. 25.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 16 and 10.
  27. 27.Find the LCM of 20 and 36.
  28. 28.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  29. 29.Find the LCM of 28 and 12.
  30. 30.Find the LCM of 5 and 4.
  31. 31.Find the LCM of 5, 15 and 3.
  32. 32.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  33. 33.Find the HCF of 77 and 22.
  34. 34.Find the HCF of 42 and 36.
  35. 35.Find the LCM of 9, 4 and 15.
  36. 36.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  37. 37.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  38. 38.Find the LCM of 14, 2 and 12.
  39. 39.Find the LCM of 3, 6 and 4.
  40. 40.Find the LCM of 9, 10 and 2.

Answer key

  1. 28
  2. 12
  3. 42
  4. 210
  5. 7
  6. 4
  7. 9
  8. 180
  9. 9
  10. 84
  11. 9
  12. 13
  13. 30
  14. 10
  15. 9
  16. 9
  17. 24
  18. 13
  19. 140
  20. 120
  21. 12
  22. 52
  23. 45
  24. 80
  25. 25
  26. 80
  27. 180
  28. 12
  29. 84
  30. 20
  31. 15
  32. 72
  33. 11
  34. 6
  35. 180
  36. 9
  37. 28
  38. 84
  39. 12
  40. 90

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