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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 89 · 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 27 and 15.
  2. 2.Find the HCF of 21 and 9.
  3. 3.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  4. 4.Find the HCF of 24 and 54.
  5. 5.Find the LCM of 16 and 14.
  6. 6.Find the LCM of 13, 3 and 6.
  7. 7.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  8. 8.Find the LCM of 4, 2 and 10.
  9. 9.Find the LCM of 3, 14 and 7.
  10. 10.Find the LCM of 18 and 12.
  11. 11.Find the LCM of 2, 3 and 13.
  12. 12.Find the LCM of 28 and 32.
  13. 13.Find the LCM of 2, 15 and 4.
  14. 14.Find the LCM of 14, 3 and 6.
  15. 15.Find the LCM of 12 and 8.
  16. 16.Find the LCM of 12 and 16.
  17. 17.Find the LCM of 5, 9 and 10.
  18. 18.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  19. 19.Find the HCF of 99 and 55.
  20. 20.Find the LCM of 12 and 9.
  21. 21.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  22. 22.Find the HCF of 32 and 56.
  23. 23.Find the LCM of 6 and 16.
  24. 24.Find the HCF of 84 and 72.
  25. 25.Find the LCM of 2, 9 and 7.
  26. 26.Find the LCM of 8 and 28.
  27. 27.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  28. 28.Find the HCF of 72 and 40.
  29. 29.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  30. 30.Find the LCM of 15, 13 and 3.
  31. 31.Find the LCM of 4, 12 and 8.
  32. 32.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  33. 33.Find the LCM of 3, 13 and 6.
  34. 34.Find the LCM of 18 and 16.
  35. 35.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  37. 37.Find the LCM of 8 and 7.
  38. 38.Find the LCM of 4, 3 and 2.
  39. 39.Find the HCF of 18 and 42.
  40. 40.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?

Answer key

  1. 135
  2. 3
  3. 72
  4. 6
  5. 112
  6. 78
  7. 49
  8. 20
  9. 42
  10. 36
  11. 78
  12. 224
  13. 60
  14. 42
  15. 24
  16. 48
  17. 90
  18. 10
  19. 11
  20. 36
  21. 24
  22. 8
  23. 48
  24. 12
  25. 126
  26. 56
  27. 21
  28. 8
  29. 28
  30. 195
  31. 24
  32. 16
  33. 78
  34. 144
  35. 12
  36. 4
  37. 56
  38. 12
  39. 6
  40. 27

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