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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 311 · 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.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  2. 2.Find the LCM of 6, 12 and 14.
  3. 3.Find the LCM of 9, 7 and 3.
  4. 4.Find the LCM of 7 and 6.
  5. 5.Find the LCM of 2 and 3.
  6. 6.Find the HCF of 24 and 56.
  7. 7.Find the LCM of 32 and 12.
  8. 8.Find the HCF of 15 and 35.
  9. 9.Find the LCM of 12, 9 and 15.
  10. 10.Find the LCM of 54 and 48.
  11. 11.Find the LCM of 6, 11 and 4.
  12. 12.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  13. 13.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  14. 14.Find the LCM of 25 and 20.
  15. 15.Find the LCM of 3, 9 and 4.
  16. 16.Find the LCM of 14, 15 and 10.
  17. 17.Find the HCF of 9 and 12.
  18. 18.Find the HCF of 36 and 28.
  19. 19.Find the HCF of 8 and 12.
  20. 20.Find the LCM of 42 and 48.
  21. 21.Find the LCM of 14 and 18.
  22. 22.Find the HCF of 66 and 55.
  23. 23.Find the LCM of 6, 12 and 11.
  24. 24.Find the LCM of 14, 15 and 5.
  25. 25.Find the LCM of 10, 11 and 5.
  26. 26.Find the LCM of 10 and 4.
  27. 27.Find the LCM of 3 and 5.
  28. 28.Find the HCF of 8 and 18.
  29. 29.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  30. 30.Find the LCM of 7 and 9.
  31. 31.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 30 and 36.
  33. 33.Find the HCF of 40 and 72.
  34. 34.Find the LCM of 13, 4 and 6.
  35. 35.Find the LCM of 5 and 4.
  36. 36.Find the HCF of 35 and 20.
  37. 37.Find the LCM of 6, 7 and 12.
  38. 38.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  39. 39.Find the LCM of 4, 6 and 9.
  40. 40.Find the LCM of 14, 6 and 7.

Answer key

  1. 14
  2. 84
  3. 63
  4. 42
  5. 6
  6. 8
  7. 96
  8. 5
  9. 180
  10. 432
  11. 132
  12. 45
  13. 10
  14. 100
  15. 36
  16. 210
  17. 3
  18. 4
  19. 4
  20. 336
  21. 126
  22. 11
  23. 132
  24. 210
  25. 110
  26. 20
  27. 15
  28. 2
  29. 56
  30. 63
  31. 14
  32. 180
  33. 8
  34. 156
  35. 20
  36. 5
  37. 84
  38. 14
  39. 36
  40. 42

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