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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 412 · 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 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  2. 2.Find the HCF of 72 and 27.
  3. 3.Find the LCM of 6, 12 and 13.
  4. 4.Find the LCM of 3, 4 and 7.
  5. 5.Find the LCM of 2, 6 and 3.
  6. 6.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  7. 7.Find the LCM of 4, 12 and 7.
  8. 8.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  9. 9.Find the LCM of 6 and 5.
  10. 10.Find the LCM of 4, 2 and 8.
  11. 11.Find the HCF of 30 and 25.
  12. 12.Find the LCM of 3, 8 and 5.
  13. 13.Find the LCM of 8, 3 and 9.
  14. 14.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  18. 18.Find the LCM of 7, 9 and 2.
  19. 19.Find the LCM of 16 and 20.
  20. 20.Find the LCM of 24 and 20.
  21. 21.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  22. 22.Find the LCM of 8, 3 and 15.
  23. 23.Find the LCM of 6, 2 and 12.
  24. 24.Find the HCF of 8 and 6.
  25. 25.Find the HCF of 75 and 30.
  26. 26.Find the HCF of 39 and 91.
  27. 27.Find the LCM of 8 and 18.
  28. 28.Find the LCM of 5 and 4.
  29. 29.Find the LCM of 20 and 32.
  30. 30.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  31. 31.Find the HCF of 6 and 4.
  32. 32.Find the LCM of 48 and 42.
  33. 33.Find the HCF of 12 and 16.
  34. 34.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  35. 35.Find the LCM of 8, 13 and 4.
  36. 36.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  37. 37.Find the HCF of 88 and 99.
  38. 38.Find the HCF of 65 and 52.
  39. 39.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  40. 40.Find the LCM of 7, 2 and 14.

Answer key

  1. 18
  2. 9
  3. 156
  4. 84
  5. 6
  6. 18
  7. 84
  8. 27
  9. 30
  10. 8
  11. 5
  12. 120
  13. 72
  14. 35
  15. 20
  16. 4
  17. 35
  18. 126
  19. 80
  20. 120
  21. 28
  22. 120
  23. 12
  24. 2
  25. 15
  26. 13
  27. 72
  28. 20
  29. 160
  30. 6
  31. 2
  32. 336
  33. 4
  34. 16
  35. 104
  36. 15
  37. 11
  38. 13
  39. 42
  40. 14

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