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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 965 · 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 8, 6 and 2.
  2. 2.Find the LCM of 3, 2 and 5.
  3. 3.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  4. 4.Find the LCM of 8, 2 and 14.
  5. 5.Find the HCF of 21 and 28.
  6. 6.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  7. 7.Find the HCF of 36 and 42.
  8. 8.Find the HCF of 64 and 40.
  9. 9.Find the HCF of 30 and 75.
  10. 10.Find the LCM of 5 and 9.
  11. 11.Find the HCF of 54 and 42.
  12. 12.Find the HCF of 63 and 54.
  13. 13.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  14. 14.Find the HCF of 45 and 36.
  15. 15.Find the HCF of 28 and 49.
  16. 16.Find the HCF of 39 and 26.
  17. 17.Find the LCM of 12, 14 and 8.
  18. 18.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 104 and 39.
  20. 20.Find the LCM of 27 and 15.
  21. 21.Find the LCM of 3, 6 and 4.
  22. 22.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 14, 2 and 11.
  24. 24.Find the LCM of 12 and 54.
  25. 25.Find the HCF of 10 and 25.
  26. 26.Find the HCF of 84 and 72.
  27. 27.Find the HCF of 10 and 6.
  28. 28.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  29. 29.Find the HCF of 48 and 30.
  30. 30.Find the HCF of 24 and 108.
  31. 31.Find the HCF of 72 and 63.
  32. 32.Find the HCF of 10 and 18.
  33. 33.Find the LCM of 21 and 18.
  34. 34.Find the LCM of 5 and 8.
  35. 35.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  36. 36.Find the LCM of 28 and 24.
  37. 37.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  38. 38.Find the HCF of 9 and 21.
  39. 39.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  40. 40.Find the LCM of 15, 2 and 7.

Answer key

  1. 24
  2. 30
  3. 54
  4. 56
  5. 7
  6. 18
  7. 6
  8. 8
  9. 15
  10. 45
  11. 6
  12. 9
  13. 14
  14. 9
  15. 7
  16. 13
  17. 168
  18. 30
  19. 13
  20. 135
  21. 12
  22. 28
  23. 154
  24. 108
  25. 5
  26. 12
  27. 2
  28. 9
  29. 6
  30. 12
  31. 9
  32. 2
  33. 126
  34. 40
  35. 20
  36. 168
  37. 40
  38. 3
  39. 30
  40. 210

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