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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 629 · 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 35 and 20.
  2. 2.Find the LCM of 11, 12 and 6.
  3. 3.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  4. 4.Find the LCM of 6, 4 and 9.
  5. 5.Find the LCM of 30 and 48.
  6. 6.Find the LCM of 21 and 18.
  7. 7.Find the HCF of 28 and 21.
  8. 8.Find the LCM of 28 and 24.
  9. 9.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  10. 10.Find the LCM of 18 and 14.
  11. 11.Find the HCF of 105 and 90.
  12. 12.Find the HCF of 20 and 8.
  13. 13.Find the HCF of 90 and 20.
  14. 14.Find the LCM of 9 and 12.
  15. 15.Find the LCM of 14, 5 and 6.
  16. 16.Find the LCM of 11, 3 and 15.
  17. 17.Find the HCF of 8 and 12.
  18. 18.Find the LCM of 6 and 14.
  19. 19.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  20. 20.Find the LCM of 7, 3 and 11.
  21. 21.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  22. 22.Find the HCF of 99 and 22.
  23. 23.Find the HCF of 49 and 63.
  24. 24.Find the LCM of 21 and 27.
  25. 25.Find the LCM of 4, 9 and 8.
  26. 26.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  27. 27.Find the HCF of 120 and 135.
  28. 28.Find the HCF of 55 and 22.
  29. 29.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  30. 30.Find the LCM of 10, 8 and 2.
  31. 31.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  33. 33.Find the LCM of 21 and 12.
  34. 34.Find the HCF of 16 and 12.
  35. 35.Find the HCF of 25 and 10.
  36. 36.Find the LCM of 15, 6 and 14.
  37. 37.Find the LCM of 7 and 8.
  38. 38.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 45 and 35.
  40. 40.Find the LCM of 4, 7 and 2.

Answer key

  1. 140
  2. 132
  3. 28
  4. 36
  5. 240
  6. 126
  7. 7
  8. 168
  9. 18
  10. 126
  11. 15
  12. 4
  13. 10
  14. 36
  15. 210
  16. 165
  17. 4
  18. 42
  19. 6
  20. 231
  21. 49
  22. 11
  23. 7
  24. 189
  25. 72
  26. 10
  27. 15
  28. 11
  29. 9
  30. 40
  31. 32
  32. 40
  33. 84
  34. 4
  35. 5
  36. 210
  37. 56
  38. 16
  39. 315
  40. 28

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