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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 309 · 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, 10 and 9.
  2. 2.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  3. 3.Find the HCF of 4 and 18.
  4. 4.Find the LCM of 10, 4 and 15.
  5. 5.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  7. 7.Find the LCM of 6, 12 and 4.
  8. 8.Find the LCM of 2, 13 and 14.
  9. 9.Find the HCF of 15 and 12.
  10. 10.Find the LCM of 24 and 27.
  11. 11.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  12. 12.Find the HCF of 52 and 39.
  13. 13.Find the HCF of 42 and 49.
  14. 14.Find the HCF of 35 and 40.
  15. 15.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  16. 16.Find the HCF of 39 and 26.
  17. 17.Find the LCM of 18 and 12.
  18. 18.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 20 and 12.
  20. 20.Find the LCM of 6, 5 and 14.
  21. 21.Find the LCM of 18 and 42.
  22. 22.Find the LCM of 7 and 4.
  23. 23.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  24. 24.Find the HCF of 56 and 63.
  25. 25.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  26. 26.Find the LCM of 20 and 16.
  27. 27.Find the HCF of 50 and 40.
  28. 28.Find the HCF of 80 and 30.
  29. 29.Find the HCF of 72 and 16.
  30. 30.Find the LCM of 10, 7 and 2.
  31. 31.Find the HCF of 24 and 18.
  32. 32.Find the LCM of 14 and 10.
  33. 33.Find the HCF of 135 and 120.
  34. 34.Find the LCM of 14, 5 and 3.
  35. 35.Find the LCM of 12, 7 and 8.
  36. 36.Find the HCF of 60 and 50.
  37. 37.Find the LCM of 12 and 20.
  38. 38.Find the LCM of 32 and 12.
  39. 39.Find the LCM of 15 and 6.
  40. 40.Find the LCM of 30 and 18.

Answer key

  1. 180
  2. 6
  3. 2
  4. 60
  5. 32
  6. 32
  7. 12
  8. 182
  9. 3
  10. 216
  11. 21
  12. 13
  13. 7
  14. 5
  15. 49
  16. 13
  17. 36
  18. 28
  19. 60
  20. 210
  21. 126
  22. 28
  23. 20
  24. 7
  25. 54
  26. 80
  27. 10
  28. 10
  29. 8
  30. 70
  31. 6
  32. 70
  33. 15
  34. 210
  35. 168
  36. 10
  37. 60
  38. 96
  39. 30
  40. 90

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