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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 566 · 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 6.
  2. 2.Find the LCM of 21 and 9.
  3. 3.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  4. 4.Find the HCF of 4 and 14.
  5. 5.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  6. 6.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  7. 7.Find the LCM of 6, 15 and 10.
  8. 8.Find the LCM of 6, 7 and 4.
  9. 9.Find the HCF of 77 and 22.
  10. 10.Find the LCM of 12 and 32.
  11. 11.Find the HCF of 16 and 56.
  12. 12.Find the LCM of 8 and 9.
  13. 13.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  14. 14.Find the LCM of 11, 15 and 3.
  15. 15.Find the LCM of 36 and 8.
  16. 16.Find the HCF of 22 and 77.
  17. 17.Find the LCM of 25 and 15.
  18. 18.Find the HCF of 56 and 70.
  19. 19.Find the LCM of 4 and 18.
  20. 20.Find the HCF of 21 and 28.
  21. 21.Find the HCF of 65 and 104.
  22. 22.Find the HCF of 30 and 70.
  23. 23.Find the HCF of 22 and 55.
  24. 24.Find the LCM of 10 and 18.
  25. 25.Find the LCM of 2, 10 and 9.
  26. 26.Find the HCF of 25 and 40.
  27. 27.Find the LCM of 14, 12 and 7.
  28. 28.Find the LCM of 18 and 12.
  29. 29.Find the LCM of 3 and 5.
  30. 30.Find the HCF of 48 and 108.
  31. 31.Find the LCM of 24 and 15.
  32. 32.Find the LCM of 28 and 20.
  33. 33.Find the LCM of 32 and 20.
  34. 34.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  35. 35.Find the HCF of 25 and 10.
  36. 36.Find the HCF of 72 and 45.
  37. 37.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  38. 38.Find the LCM of 12 and 16.
  39. 39.Find the LCM of 28 and 12.
  40. 40.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?

Answer key

  1. 42
  2. 63
  3. 10
  4. 2
  5. 15
  6. 4
  7. 30
  8. 84
  9. 11
  10. 96
  11. 8
  12. 72
  13. 9
  14. 165
  15. 72
  16. 11
  17. 75
  18. 14
  19. 36
  20. 7
  21. 13
  22. 10
  23. 11
  24. 90
  25. 90
  26. 5
  27. 84
  28. 36
  29. 15
  30. 12
  31. 120
  32. 140
  33. 160
  34. 56
  35. 5
  36. 9
  37. 36
  38. 48
  39. 84
  40. 72

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