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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 560 · 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 180. One of the numbers is 20. What is the other number?
  2. 2.Find the LCM of 6, 3 and 12.
  3. 3.Find the LCM of 10 and 4.
  4. 4.Find the LCM of 5, 6 and 14.
  5. 5.Find the LCM of 3, 14 and 7.
  6. 6.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  7. 7.Find the LCM of 40 and 25.
  8. 8.Find the LCM of 7, 5 and 3.
  9. 9.Find the LCM of 4 and 6.
  10. 10.Find the LCM of 3, 13 and 5.
  11. 11.Find the LCM of 3, 5 and 9.
  12. 12.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  13. 13.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  14. 14.Find the LCM of 16 and 20.
  15. 15.Find the HCF of 112 and 70.
  16. 16.Find the LCM of 8 and 5.
  17. 17.Find the HCF of 48 and 84.
  18. 18.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  19. 19.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  20. 20.Find the LCM of 20 and 16.
  21. 21.Find the LCM of 8 and 7.
  22. 22.Find the LCM of 45 and 25.
  23. 23.Find the HCF of 72 and 81.
  24. 24.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  25. 25.Find the LCM of 40 and 45.
  26. 26.Find the HCF of 28 and 98.
  27. 27.Find the LCM of 3, 4 and 6.
  28. 28.Find the LCM of 14, 6 and 5.
  29. 29.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  30. 30.Find the LCM of 14, 7 and 3.
  31. 31.Find the HCF of 6 and 27.
  32. 32.Find the LCM of 2 and 5.
  33. 33.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  34. 34.Find the LCM of 14, 7 and 4.
  35. 35.Find the HCF of 8 and 10.
  36. 36.Find the HCF of 75 and 60.
  37. 37.Find the HCF of 78 and 65.
  38. 38.Find the LCM of 30 and 48.
  39. 39.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  40. 40.Find the HCF of 84 and 72.

Answer key

  1. 36
  2. 12
  3. 20
  4. 210
  5. 42
  6. 21
  7. 200
  8. 105
  9. 12
  10. 195
  11. 45
  12. 40
  13. 35
  14. 80
  15. 14
  16. 40
  17. 12
  18. 32
  19. 40
  20. 80
  21. 56
  22. 225
  23. 9
  24. 28
  25. 360
  26. 14
  27. 12
  28. 210
  29. 72
  30. 42
  31. 3
  32. 10
  33. 16
  34. 28
  35. 2
  36. 15
  37. 13
  38. 240
  39. 12
  40. 12

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