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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 876 · 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 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  2. 2.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  3. 3.Find the LCM of 9 and 21.
  4. 4.Find the LCM of 6, 9 and 11.
  5. 5.Find the LCM of 12 and 27.
  6. 6.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  7. 7.Find the HCF of 45 and 81.
  8. 8.Find the LCM of 5, 12 and 15.
  9. 9.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  10. 10.Find the LCM of 4, 2 and 13.
  11. 11.Find the HCF of 21 and 27.
  12. 12.Find the HCF of 90 and 105.
  13. 13.Find the LCM of 12 and 42.
  14. 14.Find the LCM of 30 and 36.
  15. 15.Find the LCM of 28 and 32.
  16. 16.Find the LCM of 5, 13 and 10.
  17. 17.Find the HCF of 63 and 81.
  18. 18.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 96 and 36.
  20. 20.Find the LCM of 12 and 54.
  21. 21.Find the HCF of 12 and 9.
  22. 22.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 14, 10 and 3.
  24. 24.Find the HCF of 44 and 55.
  25. 25.Find the HCF of 65 and 117.
  26. 26.Find the LCM of 14, 5 and 3.
  27. 27.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  28. 28.Find the LCM of 15 and 12.
  29. 29.Find the LCM of 9 and 24.
  30. 30.Find the HCF of 49 and 21.
  31. 31.Find the LCM of 3, 11 and 9.
  32. 32.Find the HCF of 24 and 108.
  33. 33.Find the LCM of 6, 3 and 5.
  34. 34.Find the HCF of 65 and 26.
  35. 35.Find the LCM of 14 and 8.
  36. 36.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  37. 37.Find the HCF of 8 and 6.
  38. 38.Find the LCM of 20 and 36.
  39. 39.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?

Answer key

  1. 24
  2. 15
  3. 63
  4. 198
  5. 108
  6. 54
  7. 9
  8. 60
  9. 4
  10. 52
  11. 3
  12. 15
  13. 84
  14. 180
  15. 224
  16. 130
  17. 9
  18. 20
  19. 12
  20. 108
  21. 3
  22. 9
  23. 210
  24. 11
  25. 13
  26. 210
  27. 15
  28. 60
  29. 72
  30. 7
  31. 99
  32. 12
  33. 30
  34. 13
  35. 56
  36. 35
  37. 2
  38. 180
  39. 24
  40. 10

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