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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 353 · 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 6 and 10.
  2. 2.Find the LCM of 4, 7 and 3.
  3. 3.Find the HCF of 24 and 40.
  4. 4.Find the HCF of 40 and 25.
  5. 5.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  6. 6.Find the LCM of 30 and 25.
  7. 7.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  8. 8.Find the HCF of 50 and 40.
  9. 9.Find the LCM of 18 and 21.
  10. 10.Find the LCM of 4, 7 and 10.
  11. 11.Find the HCF of 14 and 6.
  12. 12.Find the LCM of 3, 10 and 14.
  13. 13.Find the LCM of 3 and 5.
  14. 14.Find the HCF of 84 and 98.
  15. 15.Find the LCM of 8, 5 and 3.
  16. 16.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  17. 17.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 54 and 24.
  19. 19.Find the HCF of 15 and 6.
  20. 20.Find the LCM of 45 and 35.
  21. 21.Find the HCF of 135 and 30.
  22. 22.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  23. 23.Find the LCM of 9, 12 and 10.
  24. 24.Find the LCM of 3, 14 and 12.
  25. 25.Find the HCF of 6 and 4.
  26. 26.Find the HCF of 70 and 40.
  27. 27.Find the LCM of 16 and 18.
  28. 28.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  29. 29.Find the HCF of 65 and 26.
  30. 30.Find the LCM of 12 and 9.
  31. 31.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  32. 32.Find the LCM of 28 and 24.
  33. 33.Find the HCF of 28 and 35.
  34. 34.Find the HCF of 24 and 42.
  35. 35.Find the HCF of 45 and 54.
  36. 36.Find the HCF of 22 and 77.
  37. 37.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  38. 38.Find the HCF of 32 and 56.
  39. 39.Find the LCM of 5, 11 and 2.
  40. 40.Find the LCM of 3, 15 and 10.

Answer key

  1. 30
  2. 84
  3. 8
  4. 5
  5. 36
  6. 150
  7. 30
  8. 10
  9. 126
  10. 140
  11. 2
  12. 210
  13. 15
  14. 14
  15. 120
  16. 35
  17. 8
  18. 216
  19. 3
  20. 315
  21. 15
  22. 28
  23. 180
  24. 84
  25. 2
  26. 10
  27. 144
  28. 15
  29. 13
  30. 36
  31. 36
  32. 168
  33. 7
  34. 6
  35. 9
  36. 11
  37. 40
  38. 8
  39. 110
  40. 30

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