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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 298 · 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 42 and 30.
  2. 2.Find the LCM of 18 and 48.
  3. 3.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  4. 4.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  5. 5.Find the LCM of 10, 5 and 4.
  6. 6.Find the HCF of 20 and 24.
  7. 7.Find the HCF of 50 and 30.
  8. 8.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  9. 9.Find the LCM of 15, 2 and 4.
  10. 10.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  11. 11.Find the LCM of 4, 10 and 11.
  12. 12.Find the LCM of 4 and 3.
  13. 13.Find the HCF of 36 and 45.
  14. 14.Find the LCM of 35 and 10.
  15. 15.Find the LCM of 2, 12 and 5.
  16. 16.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  17. 17.Find the LCM of 7 and 3.
  18. 18.Find the HCF of 30 and 20.
  19. 19.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  20. 20.Find the LCM of 16 and 28.
  21. 21.Find the HCF of 44 and 33.
  22. 22.Find the HCF of 80 and 90.
  23. 23.Find the HCF of 36 and 84.
  24. 24.Find the HCF of 28 and 32.
  25. 25.Find the LCM of 6, 2 and 9.
  26. 26.Find the HCF of 16 and 24.
  27. 27.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  28. 28.Find the HCF of 25 and 15.
  29. 29.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  30. 30.Find the HCF of 24 and 108.
  31. 31.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  33. 33.Find the LCM of 3, 15 and 11.
  34. 34.Find the HCF of 12 and 27.
  35. 35.Find the HCF of 40 and 35.
  36. 36.Find the LCM of 14, 6 and 2.
  37. 37.Find the LCM of 5 and 8.
  38. 38.Find the LCM of 5, 8 and 2.
  39. 39.Find the LCM of 3, 5 and 6.
  40. 40.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?

Answer key

  1. 210
  2. 144
  3. 56
  4. 12
  5. 20
  6. 4
  7. 10
  8. 28
  9. 60
  10. 27
  11. 220
  12. 12
  13. 9
  14. 70
  15. 60
  16. 15
  17. 21
  18. 10
  19. 8
  20. 112
  21. 11
  22. 10
  23. 12
  24. 4
  25. 18
  26. 8
  27. 54
  28. 5
  29. 32
  30. 12
  31. 4
  32. 72
  33. 165
  34. 3
  35. 5
  36. 42
  37. 40
  38. 40
  39. 30
  40. 32

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