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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 129 · 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, 12 and 3.
  2. 2.Find the LCM of 5 and 3.
  3. 3.Find the HCF of 24 and 56.
  4. 4.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  5. 5.Find the LCM of 6, 13 and 4.
  6. 6.Find the HCF of 9 and 24.
  7. 7.Find the HCF of 6 and 10.
  8. 8.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  9. 9.Find the LCM of 12, 4 and 7.
  10. 10.Find the HCF of 72 and 45.
  11. 11.Find the HCF of 91 and 26.
  12. 12.Find the LCM of 7 and 6.
  13. 13.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  14. 14.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  15. 15.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  16. 16.Find the HCF of 16 and 40.
  17. 17.Find the HCF of 14 and 12.
  18. 18.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  20. 20.Find the LCM of 8 and 10.
  21. 21.Find the HCF of 6 and 4.
  22. 22.Find the LCM of 4, 14 and 3.
  23. 23.Find the HCF of 112 and 126.
  24. 24.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  25. 25.Find the LCM of 12, 3 and 6.
  26. 26.Find the LCM of 16 and 36.
  27. 27.Find the LCM of 4, 8 and 15.
  28. 28.Find the LCM of 2, 6 and 8.
  29. 29.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  30. 30.Find the LCM of 42 and 12.
  31. 31.Find the LCM of 7, 2 and 13.
  32. 32.Find the HCF of 10 and 6.
  33. 33.Find the LCM of 4, 5 and 7.
  34. 34.Find the LCM of 2, 12 and 5.
  35. 35.Find the HCF of 24 and 15.
  36. 36.Find the LCM of 12, 8 and 15.
  37. 37.Find the LCM of 4, 3 and 11.
  38. 38.Find the LCM of 2, 5 and 10.
  39. 39.Find the LCM of 11, 3 and 6.
  40. 40.Find the HCF of 12 and 16.

Answer key

  1. 24
  2. 15
  3. 8
  4. 16
  5. 156
  6. 3
  7. 2
  8. 45
  9. 84
  10. 9
  11. 13
  12. 42
  13. 8
  14. 28
  15. 36
  16. 8
  17. 2
  18. 18
  19. 21
  20. 40
  21. 2
  22. 84
  23. 14
  24. 27
  25. 12
  26. 144
  27. 120
  28. 24
  29. 40
  30. 84
  31. 182
  32. 2
  33. 140
  34. 60
  35. 3
  36. 120
  37. 132
  38. 10
  39. 66
  40. 4

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