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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 207 · 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 8, 2 and 7.
  2. 2.Find the HCF of 10 and 35.
  3. 3.Find the LCM of 2, 15 and 5.
  4. 4.Find the LCM of 21 and 6.
  5. 5.Find the LCM of 3, 12 and 10.
  6. 6.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  7. 7.Find the LCM of 14, 7 and 9.
  8. 8.Find the LCM of 21 and 15.
  9. 9.Find the HCF of 27 and 72.
  10. 10.Find the LCM of 11, 3 and 9.
  11. 11.Find the LCM of 9 and 8.
  12. 12.Find the HCF of 45 and 20.
  13. 13.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  14. 14.Find the LCM of 7, 10 and 2.
  15. 15.Find the HCF of 42 and 54.
  16. 16.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  17. 17.Find the HCF of 84 and 48.
  18. 18.Find the HCF of 6 and 21.
  19. 19.Find the LCM of 12 and 10.
  20. 20.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  21. 21.Find the HCF of 33 and 44.
  22. 22.Find the LCM of 5, 14 and 3.
  23. 23.Find the LCM of 12 and 9.
  24. 24.Find the HCF of 16 and 40.
  25. 25.Find the LCM of 42 and 12.
  26. 26.Find the HCF of 9 and 15.
  27. 27.Find the LCM of 6 and 4.
  28. 28.Find the HCF of 30 and 25.
  29. 29.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  30. 30.Find the LCM of 12, 10 and 3.
  31. 31.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  32. 32.Find the LCM of 40 and 35.
  33. 33.Find the HCF of 104 and 91.
  34. 34.Find the LCM of 2, 3 and 5.
  35. 35.Find the HCF of 18 and 42.
  36. 36.Find the LCM of 20 and 8.
  37. 37.Find the LCM of 5, 9 and 12.
  38. 38.Find the LCM of 14, 13 and 2.
  39. 39.Find the HCF of 63 and 56.
  40. 40.Find the HCF of 12 and 14.

Answer key

  1. 56
  2. 5
  3. 30
  4. 42
  5. 60
  6. 56
  7. 126
  8. 105
  9. 9
  10. 99
  11. 72
  12. 5
  13. 12
  14. 70
  15. 6
  16. 21
  17. 12
  18. 3
  19. 60
  20. 15
  21. 11
  22. 210
  23. 36
  24. 8
  25. 84
  26. 3
  27. 12
  28. 5
  29. 21
  30. 60
  31. 28
  32. 280
  33. 13
  34. 30
  35. 6
  36. 40
  37. 180
  38. 182
  39. 7
  40. 2

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