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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 473 · 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 HCF of 28 and 42.
  2. 2.Find the LCM of 5 and 6.
  3. 3.Find the LCM of 15, 4 and 6.
  4. 4.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 10, 15 and 4.
  6. 6.Find the LCM of 2, 7 and 10.
  7. 7.Find the LCM of 2, 9 and 5.
  8. 8.Find the LCM of 4 and 6.
  9. 9.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  10. 10.Find the LCM of 9, 12 and 8.
  11. 11.Find the LCM of 4 and 5.
  12. 12.Find the HCF of 56 and 98.
  13. 13.Find the LCM of 2, 10 and 13.
  14. 14.Find the LCM of 15, 2 and 3.
  15. 15.Find the LCM of 7, 2 and 3.
  16. 16.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  17. 17.Find the LCM of 7, 6 and 8.
  18. 18.Find the LCM of 15, 14 and 10.
  19. 19.Find the LCM of 2, 11 and 10.
  20. 20.Find the LCM of 25 and 15.
  21. 21.Find the LCM of 8 and 6.
  22. 22.Find the LCM of 13, 9 and 6.
  23. 23.Find the HCF of 88 and 55.
  24. 24.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  26. 26.Find the LCM of 3, 4 and 5.
  27. 27.Find the LCM of 6 and 7.
  28. 28.Find the LCM of 24 and 20.
  29. 29.Find the LCM of 2, 4 and 14.
  30. 30.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  31. 31.Find the HCF of 99 and 44.
  32. 32.Find the LCM of 2, 9 and 11.
  33. 33.Find the LCM of 15, 10 and 5.
  34. 34.Find the HCF of 26 and 39.
  35. 35.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  36. 36.Find the LCM of 3 and 2.
  37. 37.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  39. 39.Find the HCF of 54 and 24.
  40. 40.Find the HCF of 24 and 40.

Answer key

  1. 14
  2. 30
  3. 60
  4. 49
  5. 60
  6. 70
  7. 90
  8. 12
  9. 36
  10. 72
  11. 20
  12. 14
  13. 130
  14. 30
  15. 42
  16. 27
  17. 168
  18. 210
  19. 110
  20. 75
  21. 24
  22. 234
  23. 11
  24. 36
  25. 28
  26. 60
  27. 42
  28. 120
  29. 28
  30. 28
  31. 11
  32. 198
  33. 30
  34. 13
  35. 28
  36. 6
  37. 45
  38. 24
  39. 6
  40. 8

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