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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 367 · 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 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  3. 3.Find the LCM of 16 and 6.
  4. 4.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 20 and 35.
  6. 6.Find the LCM of 18 and 48.
  7. 7.Find the LCM of 3, 6 and 4.
  8. 8.Find the LCM of 2, 14 and 9.
  9. 9.Find the LCM of 8, 14 and 12.
  10. 10.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  11. 11.Find the HCF of 12 and 8.
  12. 12.Find the LCM of 5, 10 and 4.
  13. 13.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  14. 14.Find the HCF of 10 and 12.
  15. 15.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  16. 16.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 9 and 24.
  18. 18.Find the LCM of 6, 2 and 5.
  19. 19.Find the LCM of 4, 8 and 10.
  20. 20.Find the HCF of 26 and 117.
  21. 21.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  22. 22.Find the LCM of 11, 5 and 2.
  23. 23.Find the LCM of 9, 4 and 8.
  24. 24.Find the LCM of 3, 4 and 12.
  25. 25.Find the LCM of 15 and 40.
  26. 26.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  27. 27.Find the HCF of 33 and 88.
  28. 28.Find the LCM of 2, 7 and 14.
  29. 29.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 6 and 27.
  31. 31.Find the LCM of 9, 14 and 3.
  32. 32.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  33. 33.Find the LCM of 12 and 15.
  34. 34.Find the HCF of 49 and 42.
  35. 35.Find the LCM of 10, 2 and 5.
  36. 36.Find the LCM of 15, 3 and 9.
  37. 37.Find the HCF of 45 and 120.
  38. 38.Find the LCM of 54 and 42.
  39. 39.Find the LCM of 4, 15 and 5.
  40. 40.Find the LCM of 5, 7 and 14.

Answer key

  1. 18
  2. 4
  3. 48
  4. 35
  5. 140
  6. 144
  7. 12
  8. 126
  9. 168
  10. 28
  11. 4
  12. 20
  13. 35
  14. 2
  15. 27
  16. 30
  17. 72
  18. 30
  19. 40
  20. 13
  21. 21
  22. 110
  23. 72
  24. 12
  25. 120
  26. 6
  27. 11
  28. 14
  29. 16
  30. 54
  31. 126
  32. 48
  33. 60
  34. 7
  35. 10
  36. 45
  37. 15
  38. 378
  39. 60
  40. 70

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