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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 278 · 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 14, 2 and 12.
  2. 2.Find the LCM of 6, 12 and 11.
  3. 3.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  5. 5.Find the HCF of 9 and 6.
  6. 6.Find the LCM of 28 and 8.
  7. 7.Find the LCM of 15 and 35.
  8. 8.Find the HCF of 8 and 20.
  9. 9.Find the LCM of 8 and 18.
  10. 10.Find the LCM of 10, 8 and 15.
  11. 11.Find the LCM of 13, 15 and 5.
  12. 12.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  13. 13.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  14. 14.Find the HCF of 72 and 40.
  15. 15.Find the HCF of 22 and 77.
  16. 16.Find the HCF of 99 and 44.
  17. 17.Find the LCM of 30 and 25.
  18. 18.Find the HCF of 55 and 88.
  19. 19.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  20. 20.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  21. 21.Find the LCM of 5 and 9.
  22. 22.Find the HCF of 30 and 12.
  23. 23.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  25. 25.Find the HCF of 24 and 60.
  26. 26.Find the LCM of 10 and 12.
  27. 27.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  28. 28.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  29. 29.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  30. 30.Find the LCM of 5, 2 and 4.
  31. 31.Find the LCM of 8, 14 and 4.
  32. 32.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  35. 35.Find the HCF of 64 and 72.
  36. 36.Find the LCM of 21 and 27.
  37. 37.Find the LCM of 15, 5 and 10.
  38. 38.Find the LCM of 3 and 4.
  39. 39.Find the LCM of 2 and 3.
  40. 40.Find the LCM of 24 and 9.

Answer key

  1. 84
  2. 132
  3. 27
  4. 14
  5. 3
  6. 56
  7. 105
  8. 4
  9. 72
  10. 120
  11. 195
  12. 56
  13. 27
  14. 8
  15. 11
  16. 11
  17. 150
  18. 11
  19. 8
  20. 28
  21. 45
  22. 6
  23. 72
  24. 45
  25. 12
  26. 60
  27. 14
  28. 15
  29. 54
  30. 20
  31. 56
  32. 27
  33. 56
  34. 21
  35. 8
  36. 189
  37. 30
  38. 12
  39. 6
  40. 72

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