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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 758 · 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 3, 4 and 14.
  2. 2.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  3. 3.Find the HCF of 20 and 30.
  4. 4.Find the HCF of 75 and 45.
  5. 5.Find the LCM of 2, 7 and 3.
  6. 6.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 6 and 27.
  8. 8.Find the HCF of 24 and 56.
  9. 9.Find the LCM of 13, 5 and 2.
  10. 10.Find the LCM of 10 and 18.
  11. 11.Find the LCM of 2, 8 and 12.
  12. 12.Find the HCF of 10 and 25.
  13. 13.Find the LCM of 8 and 12.
  14. 14.Find the LCM of 6, 4 and 11.
  15. 15.Find the LCM of 8, 4 and 6.
  16. 16.Find the LCM of 3, 2 and 15.
  17. 17.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  18. 18.Find the HCF of 45 and 105.
  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 3, 15 and 9.
  21. 21.Find the LCM of 4 and 6.
  22. 22.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  23. 23.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  24. 24.Find the LCM of 5, 15 and 4.
  25. 25.Find the LCM of 4, 5 and 10.
  26. 26.Find the LCM of 15, 7 and 10.
  27. 27.Find the HCF of 88 and 55.
  28. 28.Find the LCM of 14, 7 and 6.
  29. 29.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  30. 30.Find the LCM of 28 and 8.
  31. 31.Find the HCF of 60 and 72.
  32. 32.Find the LCM of 8, 4 and 14.
  33. 33.Find the LCM of 5, 6 and 4.
  34. 34.Find the LCM of 12 and 10.
  35. 35.Find the LCM of 13, 4 and 6.
  36. 36.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  37. 37.Find the LCM of 5, 2 and 6.
  38. 38.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  40. 40.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?

Answer key

  1. 84
  2. 35
  3. 10
  4. 15
  5. 42
  6. 42
  7. 54
  8. 8
  9. 130
  10. 90
  11. 24
  12. 5
  13. 24
  14. 132
  15. 24
  16. 30
  17. 18
  18. 15
  19. 40
  20. 45
  21. 12
  22. 54
  23. 20
  24. 60
  25. 20
  26. 210
  27. 11
  28. 42
  29. 15
  30. 56
  31. 12
  32. 56
  33. 60
  34. 60
  35. 156
  36. 72
  37. 30
  38. 12
  39. 18
  40. 9

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