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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 65 · 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 24 and 27.
  2. 2.Find the LCM of 14, 6 and 2.
  3. 3.Find the HCF of 39 and 65.
  4. 4.Find the LCM of 5, 10 and 3.
  5. 5.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  6. 6.Find the LCM of 9 and 8.
  7. 7.Find the LCM of 13, 15 and 3.
  8. 8.Find the HCF of 35 and 30.
  9. 9.Find the HCF of 96 and 60.
  10. 10.Find the HCF of 12 and 54.
  11. 11.Find the HCF of 56 and 21.
  12. 12.Find the LCM of 14, 8 and 4.
  13. 13.Find the HCF of 20 and 16.
  14. 14.Find the LCM of 15 and 10.
  15. 15.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  16. 16.Find the LCM of 24 and 28.
  17. 17.Find the HCF of 9 and 6.
  18. 18.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  19. 19.Find the LCM of 35 and 40.
  20. 20.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  21. 21.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  22. 22.Find the LCM of 10 and 14.
  23. 23.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  24. 24.Find the LCM of 2, 5 and 4.
  25. 25.Find the LCM of 9, 15 and 6.
  26. 26.Find the LCM of 12, 11 and 3.
  27. 27.Find the LCM of 30 and 24.
  28. 28.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  29. 29.Find the LCM of 5, 9 and 3.
  30. 30.Find the LCM of 24 and 15.
  31. 31.Find the LCM of 14 and 16.
  32. 32.Find the HCF of 70 and 56.
  33. 33.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  34. 34.Find the HCF of 30 and 35.
  35. 35.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  37. 37.Find the HCF of 15 and 27.
  38. 38.Find the LCM of 6, 12 and 14.
  39. 39.Find the HCF of 25 and 15.
  40. 40.Find the HCF of 36 and 24.

Answer key

  1. 216
  2. 42
  3. 13
  4. 30
  5. 36
  6. 72
  7. 195
  8. 5
  9. 12
  10. 6
  11. 7
  12. 56
  13. 4
  14. 30
  15. 72
  16. 168
  17. 3
  18. 6
  19. 280
  20. 40
  21. 49
  22. 70
  23. 28
  24. 20
  25. 90
  26. 132
  27. 120
  28. 8
  29. 45
  30. 120
  31. 112
  32. 14
  33. 10
  34. 5
  35. 12
  36. 45
  37. 3
  38. 84
  39. 5
  40. 12

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