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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 724 · 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 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  2. 2.Find the LCM of 5, 4 and 3.
  3. 3.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  4. 4.Find the LCM of 8 and 5.
  5. 5.Find the LCM of 10 and 35.
  6. 6.Find the LCM of 14, 3 and 2.
  7. 7.Find the LCM of 9, 15 and 6.
  8. 8.Find the HCF of 6 and 15.
  9. 9.Find the LCM of 8, 6 and 7.
  10. 10.Find the LCM of 7 and 3.
  11. 11.Find the LCM of 7 and 8.
  12. 12.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  13. 13.Find the HCF of 30 and 35.
  14. 14.Find the LCM of 2, 7 and 15.
  15. 15.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  16. 16.Find the HCF of 70 and 50.
  17. 17.Find the HCF of 18 and 42.
  18. 18.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  19. 19.Find the LCM of 13, 12 and 2.
  20. 20.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  21. 21.Find the HCF of 60 and 105.
  22. 22.Find the LCM of 15, 3 and 9.
  23. 23.Find the LCM of 5, 10 and 12.
  24. 24.Find the HCF of 21 and 14.
  25. 25.Find the HCF of 10 and 25.
  26. 26.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  27. 27.Find the HCF of 27 and 36.
  28. 28.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  29. 29.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  30. 30.Find the HCF of 77 and 66.
  31. 31.Find the LCM of 7, 14 and 10.
  32. 32.Find the LCM of 2 and 7.
  33. 33.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  34. 34.Find the LCM of 10, 3 and 9.
  35. 35.Find the LCM of 2 and 3.
  36. 36.Find the LCM of 8 and 10.
  37. 37.Find the HCF of 30 and 12.
  38. 38.Find the HCF of 10 and 14.
  39. 39.Find the HCF of 96 and 108.
  40. 40.Find the LCM of 8 and 6.

Answer key

  1. 45
  2. 60
  3. 14
  4. 40
  5. 70
  6. 42
  7. 90
  8. 3
  9. 168
  10. 21
  11. 56
  12. 35
  13. 5
  14. 210
  15. 14
  16. 10
  17. 6
  18. 14
  19. 156
  20. 20
  21. 15
  22. 45
  23. 60
  24. 7
  25. 5
  26. 56
  27. 9
  28. 12
  29. 56
  30. 11
  31. 70
  32. 14
  33. 24
  34. 90
  35. 6
  36. 40
  37. 6
  38. 2
  39. 12
  40. 24

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