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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 357 · 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 2, 6 and 12.
  2. 2.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  4. 4.Find the HCF of 20 and 32.
  5. 5.Find the HCF of 24 and 64.
  6. 6.Find the LCM of 16 and 14.
  7. 7.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  8. 8.Find the HCF of 15 and 40.
  9. 9.Find the LCM of 6, 15 and 12.
  10. 10.Find the HCF of 49 and 14.
  11. 11.Find the LCM of 15 and 6.
  12. 12.Find the LCM of 6, 2 and 4.
  13. 13.Find the LCM of 35 and 15.
  14. 14.Find the LCM of 3, 11 and 2.
  15. 15.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  16. 16.Find the LCM of 3, 2 and 5.
  17. 17.Find the LCM of 8 and 9.
  18. 18.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  19. 19.Find the LCM of 10, 5 and 12.
  20. 20.Find the LCM of 4, 13 and 6.
  21. 21.Find the LCM of 9, 8 and 6.
  22. 22.Find the LCM of 9, 6 and 15.
  23. 23.Find the LCM of 5, 7 and 14.
  24. 24.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  27. 27.Find the LCM of 36 and 42.
  28. 28.Find the HCF of 14 and 21.
  29. 29.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  30. 30.Find the LCM of 10, 5 and 11.
  31. 31.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  32. 32.Find the LCM of 15, 6 and 7.
  33. 33.Find the HCF of 27 and 15.
  34. 34.Find the LCM of 8, 6 and 3.
  35. 35.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  36. 36.Find the HCF of 33 and 88.
  37. 37.Find the LCM of 2, 3 and 7.
  38. 38.Find the LCM of 14 and 4.
  39. 39.Find the LCM of 24 and 20.
  40. 40.Find the HCF of 84 and 96.

Answer key

  1. 12
  2. 35
  3. 20
  4. 4
  5. 8
  6. 112
  7. 35
  8. 5
  9. 60
  10. 7
  11. 30
  12. 12
  13. 105
  14. 66
  15. 18
  16. 30
  17. 72
  18. 35
  19. 60
  20. 156
  21. 72
  22. 90
  23. 70
  24. 48
  25. 45
  26. 15
  27. 252
  28. 7
  29. 56
  30. 110
  31. 42
  32. 210
  33. 3
  34. 24
  35. 36
  36. 11
  37. 42
  38. 28
  39. 120
  40. 12

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