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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 792 · 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 7 and 5.
  2. 2.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  3. 3.Find the LCM of 35 and 30.
  4. 4.Find the LCM of 8, 2 and 9.
  5. 5.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 32 and 12.
  7. 7.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 4, 13 and 8.
  9. 9.Find the LCM of 6, 4 and 13.
  10. 10.Find the HCF of 28 and 16.
  11. 11.Find the LCM of 15 and 27.
  12. 12.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  13. 13.Find the LCM of 6 and 4.
  14. 14.Find the HCF of 25 and 40.
  15. 15.Find the LCM of 15 and 40.
  16. 16.Find the HCF of 6 and 9.
  17. 17.Find the HCF of 45 and 18.
  18. 18.Find the LCM of 8, 5 and 12.
  19. 19.Find the LCM of 15 and 6.
  20. 20.Find the LCM of 30 and 48.
  21. 21.Find the LCM of 11, 2 and 3.
  22. 22.Find the HCF of 12 and 16.
  23. 23.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  24. 24.Find the HCF of 21 and 9.
  25. 25.Find the LCM of 5, 4 and 2.
  26. 26.Find the HCF of 88 and 55.
  27. 27.Find the HCF of 16 and 12.
  28. 28.Find the HCF of 24 and 64.
  29. 29.Find the HCF of 48 and 56.
  30. 30.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  31. 31.Find the HCF of 84 and 36.
  32. 32.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  33. 33.Find the LCM of 3, 9 and 12.
  34. 34.Find the LCM of 4, 7 and 8.
  35. 35.Find the HCF of 65 and 26.
  36. 36.Find the LCM of 7, 10 and 15.
  37. 37.Find the LCM of 12 and 32.
  38. 38.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 12 and 42.
  40. 40.Find the HCF of 65 and 52.

Answer key

  1. 35
  2. 20
  3. 210
  4. 72
  5. 12
  6. 96
  7. 4
  8. 104
  9. 156
  10. 4
  11. 135
  12. 14
  13. 12
  14. 5
  15. 120
  16. 3
  17. 9
  18. 120
  19. 30
  20. 240
  21. 66
  22. 4
  23. 28
  24. 3
  25. 20
  26. 11
  27. 4
  28. 8
  29. 8
  30. 27
  31. 12
  32. 27
  33. 36
  34. 56
  35. 13
  36. 210
  37. 96
  38. 27
  39. 84
  40. 13

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