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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 226 · 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 16 and 6.
  2. 2.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  3. 3.Find the HCF of 50 and 70.
  4. 4.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  6. 6.Find the LCM of 5, 7 and 4.
  7. 7.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  8. 8.Find the LCM of 24 and 54.
  9. 9.Find the HCF of 30 and 36.
  10. 10.Find the HCF of 49 and 14.
  11. 11.Find the HCF of 6 and 4.
  12. 12.Find the HCF of 77 and 33.
  13. 13.Find the LCM of 5, 2 and 4.
  14. 14.Find the LCM of 20 and 16.
  15. 15.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 27 and 21.
  17. 17.Find the HCF of 81 and 36.
  18. 18.Find the HCF of 72 and 63.
  19. 19.Find the LCM of 3, 4 and 5.
  20. 20.Find the LCM of 48 and 18.
  21. 21.Find the LCM of 7, 5 and 2.
  22. 22.Find the LCM of 2, 14 and 5.
  23. 23.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  24. 24.Find the LCM of 18 and 15.
  25. 25.Find the HCF of 16 and 12.
  26. 26.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  27. 27.Find the HCF of 15 and 25.
  28. 28.Find the HCF of 96 and 36.
  29. 29.Find the HCF of 135 and 30.
  30. 30.Find the LCM of 2 and 7.
  31. 31.Find the HCF of 18 and 8.
  32. 32.Find the LCM of 4 and 10.
  33. 33.Find the HCF of 99 and 55.
  34. 34.Find the HCF of 48 and 60.
  35. 35.Find the HCF of 54 and 30.
  36. 36.Find the LCM of 5, 12 and 6.
  37. 37.Find the LCM of 3, 2 and 9.
  38. 38.Find the LCM of 30 and 24.
  39. 39.Find the LCM of 9, 7 and 2.
  40. 40.Find the HCF of 56 and 70.

Answer key

  1. 48
  2. 35
  3. 10
  4. 35
  5. 15
  6. 140
  7. 72
  8. 216
  9. 6
  10. 7
  11. 2
  12. 11
  13. 20
  14. 80
  15. 63
  16. 189
  17. 9
  18. 9
  19. 60
  20. 144
  21. 70
  22. 70
  23. 15
  24. 90
  25. 4
  26. 40
  27. 5
  28. 12
  29. 15
  30. 14
  31. 2
  32. 20
  33. 11
  34. 12
  35. 6
  36. 60
  37. 18
  38. 120
  39. 126
  40. 14

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