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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 78 · 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 378. One of the numbers is 42. What is the other number?
  2. 2.Find the LCM of 8 and 36.
  3. 3.Find the HCF of 9 and 15.
  4. 4.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  5. 5.Find the LCM of 10 and 25.
  6. 6.Find the LCM of 28 and 20.
  7. 7.Find the LCM of 12, 4 and 11.
  8. 8.Find the HCF of 105 and 120.
  9. 9.Find the LCM of 13, 2 and 6.
  10. 10.Find the LCM of 8, 15 and 2.
  11. 11.Find the LCM of 5, 11 and 3.
  12. 12.Find the LCM of 36 and 28.
  13. 13.Find the LCM of 12, 3 and 13.
  14. 14.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  15. 15.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 8, 14 and 4.
  17. 17.Find the LCM of 6, 5 and 12.
  18. 18.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  19. 19.Find the LCM of 4 and 18.
  20. 20.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  21. 21.Find the HCF of 56 and 48.
  22. 22.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  24. 24.Find the LCM of 2, 4 and 13.
  25. 25.Find the LCM of 9, 2 and 14.
  26. 26.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  28. 28.Find the LCM of 7, 2 and 10.
  29. 29.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  30. 30.Find the LCM of 8 and 3.
  31. 31.Find the HCF of 108 and 84.
  32. 32.Find the LCM of 12 and 18.
  33. 33.Find the LCM of 4 and 14.
  34. 34.Find the LCM of 13, 2 and 5.
  35. 35.Find the LCM of 14 and 4.
  36. 36.Find the LCM of 42 and 24.
  37. 37.Find the LCM of 16 and 28.
  38. 38.Find the HCF of 56 and 49.
  39. 39.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  40. 40.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?

Answer key

  1. 54
  2. 72
  3. 3
  4. 21
  5. 50
  6. 140
  7. 132
  8. 15
  9. 78
  10. 120
  11. 165
  12. 252
  13. 156
  14. 4
  15. 6
  16. 56
  17. 60
  18. 12
  19. 36
  20. 8
  21. 8
  22. 16
  23. 27
  24. 52
  25. 126
  26. 10
  27. 27
  28. 70
  29. 28
  30. 24
  31. 12
  32. 36
  33. 28
  34. 130
  35. 28
  36. 168
  37. 112
  38. 7
  39. 20
  40. 35

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