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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 407 · 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 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  2. 2.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  3. 3.Find the LCM of 3 and 5.
  4. 4.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 18 and 8.
  6. 6.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 27 and 12.
  8. 8.Find the HCF of 12 and 9.
  9. 9.Find the LCM of 12, 2 and 5.
  10. 10.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  12. 12.Find the HCF of 126 and 28.
  13. 13.Find the HCF of 40 and 16.
  14. 14.Find the LCM of 27 and 24.
  15. 15.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  16. 16.Find the LCM of 48 and 30.
  17. 17.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  19. 19.Find the LCM of 9 and 12.
  20. 20.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  21. 21.Find the LCM of 13, 4 and 6.
  22. 22.Find the HCF of 44 and 33.
  23. 23.Find the HCF of 21 and 56.
  24. 24.Find the LCM of 3 and 2.
  25. 25.Find the LCM of 20 and 15.
  26. 26.Find the HCF of 63 and 45.
  27. 27.Find the HCF of 27 and 6.
  28. 28.Find the LCM of 4 and 3.
  29. 29.Find the LCM of 42 and 24.
  30. 30.Find the LCM of 6, 11 and 2.
  31. 31.Find the LCM of 18 and 10.
  32. 32.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  33. 33.Find the HCF of 12 and 32.
  34. 34.Find the LCM of 14 and 18.
  35. 35.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  36. 36.Find the HCF of 75 and 60.
  37. 37.Find the HCF of 21 and 49.
  38. 38.Find the LCM of 2, 14 and 3.
  39. 39.Find the HCF of 28 and 36.
  40. 40.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?

Answer key

  1. 32
  2. 15
  3. 15
  4. 12
  5. 72
  6. 42
  7. 108
  8. 3
  9. 60
  10. 14
  11. 6
  12. 14
  13. 8
  14. 216
  15. 40
  16. 240
  17. 56
  18. 48
  19. 36
  20. 20
  21. 156
  22. 11
  23. 7
  24. 6
  25. 60
  26. 9
  27. 3
  28. 12
  29. 168
  30. 66
  31. 90
  32. 40
  33. 4
  34. 126
  35. 54
  36. 15
  37. 7
  38. 42
  39. 4
  40. 14

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