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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 274 · 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 9 and 4.
  2. 2.Find the HCF of 56 and 49.
  3. 3.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  4. 4.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  5. 5.Find the LCM of 4 and 7.
  6. 6.Find the HCF of 88 and 55.
  7. 7.Find the HCF of 40 and 50.
  8. 8.Find the LCM of 2, 6 and 12.
  9. 9.Find the LCM of 15, 8 and 3.
  10. 10.Find the HCF of 91 and 39.
  11. 11.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  12. 12.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  13. 13.Find the HCF of 45 and 10.
  14. 14.Find the LCM of 24 and 54.
  15. 15.Find the LCM of 21 and 12.
  16. 16.Find the HCF of 91 and 104.
  17. 17.Find the LCM of 6 and 7.
  18. 18.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  19. 19.Find the LCM of 12, 8 and 4.
  20. 20.Find the LCM of 8 and 18.
  21. 21.Find the LCM of 14 and 16.
  22. 22.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  25. 25.Find the LCM of 7 and 8.
  26. 26.Find the LCM of 21 and 18.
  27. 27.Find the LCM of 35 and 30.
  28. 28.Find the HCF of 18 and 81.
  29. 29.Find the LCM of 2 and 3.
  30. 30.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  31. 31.Find the HCF of 49 and 42.
  32. 32.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  33. 33.Find the LCM of 9 and 5.
  34. 34.Find the LCM of 4, 5 and 11.
  35. 35.Find the LCM of 2, 15 and 9.
  36. 36.Find the LCM of 2, 14 and 4.
  37. 37.Find the LCM of 6, 2 and 4.
  38. 38.Find the LCM of 5, 11 and 2.
  39. 39.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  40. 40.Find the LCM of 12 and 9.

Answer key

  1. 36
  2. 7
  3. 10
  4. 12
  5. 28
  6. 11
  7. 10
  8. 12
  9. 120
  10. 13
  11. 64
  12. 56
  13. 5
  14. 216
  15. 84
  16. 13
  17. 42
  18. 10
  19. 24
  20. 72
  21. 112
  22. 10
  23. 28
  24. 64
  25. 56
  26. 126
  27. 210
  28. 9
  29. 6
  30. 12
  31. 7
  32. 36
  33. 45
  34. 220
  35. 90
  36. 28
  37. 12
  38. 110
  39. 24
  40. 36

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