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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 795 · 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 30 and 24.
  2. 2.Find the LCM of 13, 2 and 5.
  3. 3.Find the HCF of 135 and 30.
  4. 4.Find the HCF of 91 and 26.
  5. 5.Find the LCM of 12, 14 and 6.
  6. 6.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  7. 7.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  8. 8.Find the LCM of 5, 4 and 6.
  9. 9.Find the LCM of 9 and 21.
  10. 10.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  11. 11.Find the LCM of 3 and 2.
  12. 12.Find the LCM of 20 and 15.
  13. 13.Find the LCM of 2, 5 and 4.
  14. 14.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  15. 15.Find the HCF of 108 and 24.
  16. 16.Find the LCM of 4 and 10.
  17. 17.Find the LCM of 12 and 21.
  18. 18.Find the LCM of 2, 8 and 11.
  19. 19.Find the HCF of 108 and 96.
  20. 20.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  22. 22.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  23. 23.Find the LCM of 9 and 4.
  24. 24.Find the LCM of 11, 6 and 2.
  25. 25.Find the LCM of 8 and 28.
  26. 26.Find the LCM of 7, 4 and 5.
  27. 27.Find the HCF of 52 and 91.
  28. 28.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  29. 29.Find the HCF of 90 and 70.
  30. 30.Find the HCF of 56 and 63.
  31. 31.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  33. 33.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  34. 34.Find the LCM of 4, 10 and 8.
  35. 35.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  36. 36.Find the LCM of 4, 5 and 2.
  37. 37.Find the HCF of 42 and 28.
  38. 38.Find the LCM of 10, 3 and 9.
  39. 39.Find the HCF of 36 and 60.
  40. 40.Find the LCM of 5 and 7.

Answer key

  1. 120
  2. 130
  3. 15
  4. 13
  5. 84
  6. 16
  7. 16
  8. 60
  9. 63
  10. 45
  11. 6
  12. 60
  13. 20
  14. 36
  15. 12
  16. 20
  17. 84
  18. 88
  19. 12
  20. 40
  21. 32
  22. 32
  23. 36
  24. 66
  25. 56
  26. 140
  27. 13
  28. 12
  29. 10
  30. 7
  31. 16
  32. 56
  33. 27
  34. 40
  35. 56
  36. 20
  37. 14
  38. 90
  39. 12
  40. 35

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