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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 104 · 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 4 and 18.
  2. 2.Find the LCM of 4, 3 and 7.
  3. 3.Find the HCF of 16 and 24.
  4. 4.Find the LCM of 12, 2 and 15.
  5. 5.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  6. 6.Find the HCF of 77 and 44.
  7. 7.Find the HCF of 99 and 22.
  8. 8.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  9. 9.Find the LCM of 9, 4 and 15.
  10. 10.Find the HCF of 28 and 42.
  11. 11.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  12. 12.Find the LCM of 10 and 4.
  13. 13.Find the LCM of 12 and 28.
  14. 14.Find the LCM of 10, 2 and 7.
  15. 15.Find the LCM of 7, 11 and 2.
  16. 16.Find the HCF of 72 and 32.
  17. 17.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  18. 18.Find the LCM of 16 and 12.
  19. 19.Find the LCM of 20 and 32.
  20. 20.Find the HCF of 42 and 36.
  21. 21.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  22. 22.Find the LCM of 2, 9 and 4.
  23. 23.Find the LCM of 12, 3 and 2.
  24. 24.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  25. 25.Find the HCF of 84 and 60.
  26. 26.Find the HCF of 52 and 91.
  27. 27.Find the LCM of 7, 15 and 14.
  28. 28.Find the LCM of 5 and 8.
  29. 29.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  31. 31.Find the LCM of 30 and 25.
  32. 32.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  33. 33.Find the LCM of 4, 2 and 3.
  34. 34.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  35. 35.Find the HCF of 72 and 56.
  36. 36.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  37. 37.Find the HCF of 16 and 56.
  38. 38.Find the HCF of 18 and 63.
  39. 39.Find the HCF of 30 and 48.
  40. 40.Find the LCM of 7, 8 and 4.

Answer key

  1. 36
  2. 84
  3. 8
  4. 60
  5. 21
  6. 11
  7. 11
  8. 45
  9. 180
  10. 14
  11. 12
  12. 20
  13. 84
  14. 70
  15. 154
  16. 8
  17. 32
  18. 48
  19. 160
  20. 6
  21. 35
  22. 36
  23. 12
  24. 18
  25. 12
  26. 13
  27. 210
  28. 40
  29. 9
  30. 54
  31. 150
  32. 10
  33. 12
  34. 15
  35. 8
  36. 32
  37. 8
  38. 9
  39. 6
  40. 56

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