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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 641 · 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 12, 15 and 5.
  2. 2.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 8, 12 and 15.
  4. 4.Find the LCM of 32 and 20.
  5. 5.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 9 and 4.
  7. 7.Find the HCF of 45 and 35.
  8. 8.Find the HCF of 10 and 12.
  9. 9.Find the LCM of 11, 3 and 9.
  10. 10.Find the LCM of 24 and 30.
  11. 11.Find the LCM of 32 and 36.
  12. 12.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  13. 13.Find the LCM of 4, 2 and 3.
  14. 14.Find the LCM of 10, 11 and 4.
  15. 15.Find the LCM of 20 and 25.
  16. 16.Find the HCF of 6 and 10.
  17. 17.Find the LCM of 8 and 10.
  18. 18.Find the HCF of 108 and 48.
  19. 19.Find the LCM of 6, 3 and 4.
  20. 20.Find the LCM of 9, 11 and 2.
  21. 21.Find the LCM of 6 and 8.
  22. 22.Find the HCF of 63 and 56.
  23. 23.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  24. 24.Find the LCM of 13, 4 and 8.
  25. 25.Find the HCF of 56 and 70.
  26. 26.Find the HCF of 36 and 48.
  27. 27.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  28. 28.Find the HCF of 16 and 36.
  29. 29.Find the LCM of 14, 15 and 2.
  30. 30.Find the LCM of 4, 6 and 3.
  31. 31.Find the LCM of 5, 15 and 4.
  32. 32.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  33. 33.Find the LCM of 20 and 28.
  34. 34.Find the HCF of 36 and 27.
  35. 35.Find the HCF of 60 and 135.
  36. 36.Find the LCM of 11, 2 and 3.
  37. 37.Find the LCM of 4 and 18.
  38. 38.Find the LCM of 16 and 36.
  39. 39.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  40. 40.Find the HCF of 117 and 26.

Answer key

  1. 60
  2. 9
  3. 120
  4. 160
  5. 28
  6. 36
  7. 5
  8. 2
  9. 99
  10. 120
  11. 288
  12. 4
  13. 12
  14. 220
  15. 100
  16. 2
  17. 40
  18. 12
  19. 12
  20. 198
  21. 24
  22. 7
  23. 48
  24. 104
  25. 14
  26. 12
  27. 45
  28. 4
  29. 210
  30. 12
  31. 60
  32. 32
  33. 140
  34. 9
  35. 15
  36. 66
  37. 36
  38. 144
  39. 21
  40. 13

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