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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 428 · 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 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  2. 2.Find the LCM of 32 and 20.
  3. 3.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  5. 5.Find the LCM of 12 and 21.
  6. 6.Find the LCM of 20 and 8.
  7. 7.Find the HCF of 63 and 35.
  8. 8.Find the LCM of 3, 5 and 12.
  9. 9.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  11. 11.Find the LCM of 14, 4 and 3.
  12. 12.Find the LCM of 3, 10 and 12.
  13. 13.Find the HCF of 8 and 14.
  14. 14.Find the LCM of 48 and 42.
  15. 15.Find the LCM of 6, 5 and 4.
  16. 16.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  17. 17.Find the HCF of 35 and 42.
  18. 18.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  19. 19.Find the HCF of 63 and 56.
  20. 20.Find the LCM of 12 and 16.
  21. 21.Find the HCF of 45 and 18.
  22. 22.Find the LCM of 12, 10 and 4.
  23. 23.Find the HCF of 90 and 50.
  24. 24.Find the LCM of 11, 2 and 9.
  25. 25.Find the HCF of 96 and 84.
  26. 26.Find the HCF of 39 and 65.
  27. 27.Find the LCM of 6, 10 and 2.
  28. 28.Find the HCF of 96 and 60.
  29. 29.Find the LCM of 11, 2 and 10.
  30. 30.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  31. 31.Find the HCF of 44 and 33.
  32. 32.Find the LCM of 7, 2 and 13.
  33. 33.Find the LCM of 3, 4 and 11.
  34. 34.Find the LCM of 3, 7 and 8.
  35. 35.Find the LCM of 5, 6 and 9.
  36. 36.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  37. 37.Find the LCM of 3, 2 and 14.
  38. 38.Find the LCM of 4, 5 and 6.
  39. 39.Find the LCM of 5, 14 and 3.
  40. 40.Find the LCM of 3, 12 and 5.

Answer key

  1. 8
  2. 160
  3. 63
  4. 20
  5. 84
  6. 40
  7. 7
  8. 60
  9. 8
  10. 4
  11. 84
  12. 60
  13. 2
  14. 336
  15. 60
  16. 32
  17. 7
  18. 15
  19. 7
  20. 48
  21. 9
  22. 60
  23. 10
  24. 198
  25. 12
  26. 13
  27. 30
  28. 12
  29. 110
  30. 15
  31. 11
  32. 182
  33. 132
  34. 168
  35. 90
  36. 15
  37. 42
  38. 60
  39. 210
  40. 60

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