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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 864 · 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 160. One of the numbers is 32. What is the other number?
  2. 2.Find the LCM of 6 and 16.
  3. 3.Find the LCM of 24 and 30.
  4. 4.Find the LCM of 15, 4 and 10.
  5. 5.Find the LCM of 15 and 6.
  6. 6.Find the HCF of 14 and 10.
  7. 7.Find the HCF of 56 and 35.
  8. 8.Find the LCM of 10 and 25.
  9. 9.Find the LCM of 9 and 2.
  10. 10.Find the LCM of 14, 4 and 7.
  11. 11.Find the LCM of 4 and 9.
  12. 12.Find the LCM of 7, 5 and 3.
  13. 13.Find the LCM of 12 and 42.
  14. 14.Find the HCF of 104 and 65.
  15. 15.Find the LCM of 7, 8 and 12.
  16. 16.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 8, 3 and 12.
  18. 18.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  19. 19.Find the HCF of 48 and 60.
  20. 20.Find the HCF of 12 and 42.
  21. 21.Find the HCF of 56 and 70.
  22. 22.Find the HCF of 72 and 40.
  23. 23.Find the HCF of 24 and 64.
  24. 24.Find the LCM of 5, 10 and 13.
  25. 25.Find the LCM of 15, 9 and 4.
  26. 26.Find the LCM of 14, 10 and 15.
  27. 27.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  28. 28.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  29. 29.Find the HCF of 16 and 28.
  30. 30.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  31. 31.Find the HCF of 70 and 40.
  32. 32.Find the LCM of 7 and 2.
  33. 33.Find the LCM of 5, 7 and 10.
  34. 34.Find the HCF of 30 and 12.
  35. 35.Find the LCM of 35 and 15.
  36. 36.Find the HCF of 8 and 12.
  37. 37.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  38. 38.Find the HCF of 56 and 63.
  39. 39.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  40. 40.Find the LCM of 25 and 15.

Answer key

  1. 20
  2. 48
  3. 120
  4. 60
  5. 30
  6. 2
  7. 7
  8. 50
  9. 18
  10. 28
  11. 36
  12. 105
  13. 84
  14. 13
  15. 168
  16. 63
  17. 24
  18. 16
  19. 12
  20. 6
  21. 14
  22. 8
  23. 8
  24. 130
  25. 180
  26. 210
  27. 63
  28. 8
  29. 4
  30. 8
  31. 10
  32. 14
  33. 70
  34. 6
  35. 105
  36. 4
  37. 16
  38. 7
  39. 15
  40. 75

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