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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 948 · 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 4, 10 and 3.
  2. 2.Find the LCM of 12, 4 and 7.
  3. 3.Find the LCM of 3 and 7.
  4. 4.Find the LCM of 8 and 3.
  5. 5.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  6. 6.Find the LCM of 6 and 4.
  7. 7.Find the LCM of 8 and 36.
  8. 8.Find the HCF of 45 and 35.
  9. 9.Find the LCM of 2, 4 and 15.
  10. 10.Find the LCM of 16 and 36.
  11. 11.Find the HCF of 36 and 24.
  12. 12.Find the LCM of 14 and 12.
  13. 13.Find the HCF of 28 and 20.
  14. 14.Find the HCF of 84 and 36.
  15. 15.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  16. 16.Find the LCM of 40 and 15.
  17. 17.Find the LCM of 10 and 6.
  18. 18.Find the LCM of 2, 13 and 7.
  19. 19.Find the HCF of 40 and 15.
  20. 20.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  21. 21.Find the HCF of 22 and 55.
  22. 22.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  23. 23.Find the HCF of 33 and 44.
  24. 24.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  25. 25.Find the LCM of 9 and 12.
  26. 26.Find the HCF of 81 and 18.
  27. 27.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  28. 28.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  29. 29.Find the LCM of 8 and 14.
  30. 30.Find the LCM of 6 and 14.
  31. 31.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 11, 3 and 2.
  33. 33.Find the HCF of 36 and 8.
  34. 34.Find the HCF of 56 and 24.
  35. 35.Find the LCM of 8, 14 and 7.
  36. 36.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  37. 37.Find the HCF of 70 and 40.
  38. 38.Find the LCM of 12, 11 and 2.
  39. 39.Find the HCF of 15 and 20.
  40. 40.Find the LCM of 32 and 28.

Answer key

  1. 60
  2. 84
  3. 21
  4. 24
  5. 8
  6. 12
  7. 72
  8. 5
  9. 60
  10. 144
  11. 12
  12. 84
  13. 4
  14. 12
  15. 27
  16. 120
  17. 30
  18. 182
  19. 5
  20. 64
  21. 11
  22. 12
  23. 11
  24. 14
  25. 36
  26. 9
  27. 21
  28. 24
  29. 56
  30. 42
  31. 14
  32. 66
  33. 4
  34. 8
  35. 56
  36. 64
  37. 10
  38. 132
  39. 5
  40. 224

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