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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 403 · 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 21 and 18.
  2. 2.Find the LCM of 4, 10 and 11.
  3. 3.Find the LCM of 6, 8 and 7.
  4. 4.Find the LCM of 10, 9 and 4.
  5. 5.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  7. 7.Find the LCM of 14, 4 and 2.
  8. 8.Find the HCF of 117 and 65.
  9. 9.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  10. 10.Find the LCM of 9 and 2.
  11. 11.Find the LCM of 11, 6 and 3.
  12. 12.Find the LCM of 10, 14 and 2.
  13. 13.Find the LCM of 2 and 7.
  14. 14.Find the LCM of 8 and 12.
  15. 15.Find the LCM of 24 and 54.
  16. 16.Find the HCF of 10 and 4.
  17. 17.Find the LCM of 6 and 27.
  18. 18.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  19. 19.Find the LCM of 3, 5 and 6.
  20. 20.Find the HCF of 75 and 60.
  21. 21.Find the LCM of 3, 8 and 7.
  22. 22.Find the LCM of 6 and 5.
  23. 23.Find the LCM of 9 and 21.
  24. 24.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  25. 25.Find the LCM of 28 and 8.
  26. 26.Find the HCF of 55 and 44.
  27. 27.Find the HCF of 20 and 50.
  28. 28.Find the HCF of 15 and 20.
  29. 29.Find the LCM of 10, 12 and 8.
  30. 30.Find the LCM of 8 and 28.
  31. 31.Find the LCM of 9, 8 and 12.
  32. 32.Find the LCM of 6 and 14.
  33. 33.Find the HCF of 18 and 15.
  34. 34.Find the HCF of 30 and 48.
  35. 35.Find the LCM of 6 and 16.
  36. 36.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 6 and 4.
  38. 38.Find the HCF of 32 and 72.
  39. 39.Find the HCF of 14 and 4.
  40. 40.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?

Answer key

  1. 126
  2. 220
  3. 168
  4. 180
  5. 63
  6. 72
  7. 28
  8. 13
  9. 24
  10. 18
  11. 66
  12. 70
  13. 14
  14. 24
  15. 216
  16. 2
  17. 54
  18. 10
  19. 30
  20. 15
  21. 168
  22. 30
  23. 63
  24. 45
  25. 56
  26. 11
  27. 10
  28. 5
  29. 120
  30. 56
  31. 72
  32. 42
  33. 3
  34. 6
  35. 48
  36. 45
  37. 12
  38. 8
  39. 2
  40. 12

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