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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 506 · 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 7, 2 and 5.
  2. 2.Find the HCF of 32 and 12.
  3. 3.Find the HCF of 40 and 48.
  4. 4.Find the LCM of 8, 3 and 5.
  5. 5.Find the HCF of 48 and 18.
  6. 6.Find the HCF of 9 and 12.
  7. 7.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  8. 8.Find the LCM of 4, 2 and 13.
  9. 9.Find the HCF of 12 and 20.
  10. 10.Find the LCM of 5, 14 and 3.
  11. 11.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  12. 12.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  13. 13.Find the LCM of 35 and 45.
  14. 14.Find the LCM of 30 and 25.
  15. 15.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  16. 16.Find the LCM of 3, 8 and 9.
  17. 17.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  18. 18.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 9 and 21.
  20. 20.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  21. 21.Find the HCF of 35 and 21.
  22. 22.Find the HCF of 77 and 99.
  23. 23.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  25. 25.Find the LCM of 21 and 9.
  26. 26.Find the LCM of 28 and 16.
  27. 27.Find the HCF of 84 and 96.
  28. 28.Find the HCF of 70 and 30.
  29. 29.Find the LCM of 16 and 6.
  30. 30.Find the HCF of 72 and 84.
  31. 31.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  32. 32.Find the HCF of 126 and 56.
  33. 33.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  34. 34.Find the LCM of 3, 14 and 12.
  35. 35.Find the LCM of 6, 3 and 2.
  36. 36.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  37. 37.Find the LCM of 8 and 18.
  38. 38.Find the HCF of 18 and 8.
  39. 39.Find the LCM of 11, 5 and 3.
  40. 40.Find the LCM of 15 and 40.

Answer key

  1. 70
  2. 4
  3. 8
  4. 120
  5. 6
  6. 3
  7. 30
  8. 52
  9. 4
  10. 210
  11. 6
  12. 20
  13. 315
  14. 150
  15. 64
  16. 72
  17. 32
  18. 8
  19. 3
  20. 6
  21. 7
  22. 11
  23. 42
  24. 10
  25. 63
  26. 112
  27. 12
  28. 10
  29. 48
  30. 12
  31. 25
  32. 14
  33. 27
  34. 84
  35. 6
  36. 54
  37. 72
  38. 2
  39. 165
  40. 120

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