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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 197 · 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 5 and 2.
  2. 2.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  3. 3.Find the LCM of 4, 10 and 9.
  4. 4.Find the LCM of 10 and 35.
  5. 5.Find the HCF of 84 and 98.
  6. 6.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 15 and 40.
  8. 8.Find the LCM of 16 and 36.
  9. 9.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  10. 10.Find the LCM of 9, 15 and 4.
  11. 11.Find the HCF of 54 and 45.
  12. 12.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  13. 13.Find the LCM of 6, 14 and 7.
  14. 14.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  15. 15.Find the LCM of 5, 15 and 4.
  16. 16.Find the LCM of 25 and 15.
  17. 17.Find the HCF of 56 and 49.
  18. 18.Find the LCM of 14, 8 and 4.
  19. 19.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  20. 20.Find the LCM of 3, 5 and 14.
  21. 21.Find the LCM of 42 and 24.
  22. 22.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  24. 24.Find the LCM of 25 and 20.
  25. 25.Find the HCF of 63 and 27.
  26. 26.Find the LCM of 12, 13 and 6.
  27. 27.Find the HCF of 28 and 12.
  28. 28.Find the HCF of 50 and 20.
  29. 29.Find the HCF of 52 and 39.
  30. 30.Find the HCF of 30 and 45.
  31. 31.Find the HCF of 35 and 25.
  32. 32.Find the HCF of 16 and 36.
  33. 33.Find the LCM of 12 and 9.
  34. 34.Find the LCM of 36 and 20.
  35. 35.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  36. 36.Find the HCF of 84 and 96.
  37. 37.Find the HCF of 33 and 22.
  38. 38.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  39. 39.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  40. 40.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?

Answer key

  1. 10
  2. 25
  3. 180
  4. 70
  5. 14
  6. 20
  7. 120
  8. 144
  9. 72
  10. 180
  11. 9
  12. 15
  13. 42
  14. 6
  15. 60
  16. 75
  17. 7
  18. 56
  19. 6
  20. 210
  21. 168
  22. 63
  23. 10
  24. 100
  25. 9
  26. 156
  27. 4
  28. 10
  29. 13
  30. 15
  31. 5
  32. 4
  33. 36
  34. 180
  35. 10
  36. 12
  37. 11
  38. 15
  39. 14
  40. 45

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