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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 617 · 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 13, 2 and 5.
  2. 2.Find the LCM of 10 and 16.
  3. 3.Find the LCM of 9, 3 and 7.
  4. 4.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  5. 5.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 28 and 24.
  7. 7.Find the HCF of 30 and 50.
  8. 8.Find the LCM of 4, 15 and 6.
  9. 9.Find the HCF of 6 and 4.
  10. 10.Find the LCM of 21 and 24.
  11. 11.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  12. 12.Find the LCM of 36 and 8.
  13. 13.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  14. 14.Find the HCF of 35 and 10.
  15. 15.Find the HCF of 16 and 14.
  16. 16.Find the LCM of 3, 6 and 13.
  17. 17.Find the LCM of 8 and 28.
  18. 18.Find the LCM of 2, 9 and 13.
  19. 19.Find the HCF of 24 and 28.
  20. 20.Find the HCF of 90 and 105.
  21. 21.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 3, 14 and 2.
  23. 23.Find the HCF of 42 and 48.
  24. 24.Find the HCF of 20 and 8.
  25. 25.Find the HCF of 65 and 26.
  26. 26.Find the LCM of 5 and 9.
  27. 27.Find the HCF of 90 and 70.
  28. 28.Find the HCF of 28 and 63.
  29. 29.Find the LCM of 7, 2 and 14.
  30. 30.Find the LCM of 2, 12 and 5.
  31. 31.Find the HCF of 21 and 15.
  32. 32.Find the HCF of 84 and 60.
  33. 33.Find the LCM of 15 and 20.
  34. 34.Find the HCF of 60 and 36.
  35. 35.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  36. 36.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  37. 37.Find the HCF of 52 and 65.
  38. 38.Find the HCF of 72 and 81.
  39. 39.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?

Answer key

  1. 130
  2. 80
  3. 63
  4. 40
  5. 28
  6. 168
  7. 10
  8. 60
  9. 2
  10. 168
  11. 64
  12. 72
  13. 36
  14. 5
  15. 2
  16. 78
  17. 56
  18. 234
  19. 4
  20. 15
  21. 6
  22. 42
  23. 6
  24. 4
  25. 13
  26. 45
  27. 10
  28. 7
  29. 14
  30. 60
  31. 3
  32. 12
  33. 60
  34. 12
  35. 36
  36. 28
  37. 13
  38. 9
  39. 12
  40. 24

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