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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 262 · 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 and 4.
  2. 2.Find the HCF of 4 and 14.
  3. 3.Find the LCM of 14, 2 and 5.
  4. 4.Find the LCM of 7, 4 and 12.
  5. 5.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 27 and 15.
  7. 7.Find the HCF of 81 and 36.
  8. 8.Find the HCF of 18 and 4.
  9. 9.Find the LCM of 14, 6 and 15.
  10. 10.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 54 and 30.
  12. 12.Find the HCF of 44 and 33.
  13. 13.Find the LCM of 24 and 27.
  14. 14.Find the LCM of 42 and 12.
  15. 15.Find the LCM of 15 and 35.
  16. 16.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  17. 17.Find the LCM of 11, 3 and 2.
  18. 18.Find the HCF of 12 and 28.
  19. 19.Find the HCF of 21 and 27.
  20. 20.Find the LCM of 7, 2 and 4.
  21. 21.Find the LCM of 28 and 16.
  22. 22.Find the HCF of 6 and 14.
  23. 23.Find the LCM of 3, 14 and 6.
  24. 24.Find the LCM of 7 and 3.
  25. 25.Find the LCM of 2 and 5.
  26. 26.Find the LCM of 12, 14 and 4.
  27. 27.Find the LCM of 12, 4 and 11.
  28. 28.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  29. 29.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  33. 33.Find the LCM of 24 and 54.
  34. 34.Find the HCF of 28 and 42.
  35. 35.Find the HCF of 105 and 135.
  36. 36.Find the LCM of 10, 4 and 6.
  37. 37.Find the HCF of 24 and 54.
  38. 38.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  39. 39.Find the LCM of 35 and 10.
  40. 40.Find the LCM of 3, 13 and 6.

Answer key

  1. 28
  2. 2
  3. 70
  4. 84
  5. 81
  6. 135
  7. 9
  8. 2
  9. 210
  10. 12
  11. 270
  12. 11
  13. 216
  14. 84
  15. 105
  16. 54
  17. 66
  18. 4
  19. 3
  20. 28
  21. 112
  22. 2
  23. 42
  24. 21
  25. 10
  26. 84
  27. 132
  28. 21
  29. 10
  30. 24
  31. 14
  32. 16
  33. 216
  34. 14
  35. 15
  36. 60
  37. 6
  38. 27
  39. 70
  40. 78

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