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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 44 · 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, 10 and 4.
  2. 2.Find the HCF of 35 and 25.
  3. 3.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  4. 4.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  5. 5.Find the LCM of 25 and 15.
  6. 6.Find the HCF of 40 and 56.
  7. 7.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  8. 8.Find the LCM of 4, 2 and 5.
  9. 9.Find the HCF of 15 and 20.
  10. 10.Find the LCM of 16 and 10.
  11. 11.Find the HCF of 54 and 45.
  12. 12.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  13. 13.Find the LCM of 12 and 16.
  14. 14.Find the LCM of 5, 12 and 15.
  15. 15.Find the LCM of 12 and 54.
  16. 16.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  17. 17.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  18. 18.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  19. 19.Find the HCF of 66 and 77.
  20. 20.Find the LCM of 10 and 16.
  21. 21.Find the LCM of 8, 2 and 13.
  22. 22.Find the HCF of 33 and 88.
  23. 23.Find the LCM of 11, 6 and 4.
  24. 24.Find the HCF of 24 and 108.
  25. 25.Find the LCM of 10, 7 and 14.
  26. 26.Find the HCF of 16 and 20.
  27. 27.Find the HCF of 8 and 12.
  28. 28.Find the HCF of 117 and 65.
  29. 29.Find the LCM of 6, 3 and 2.
  30. 30.Find the HCF of 20 and 90.
  31. 31.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  32. 32.Find the LCM of 15 and 10.
  33. 33.Find the LCM of 24 and 27.
  34. 34.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  35. 35.Find the LCM of 45 and 10.
  36. 36.Find the HCF of 104 and 91.
  37. 37.Find the LCM of 7 and 4.
  38. 38.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  39. 39.Find the LCM of 2, 11 and 10.
  40. 40.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?

Answer key

  1. 60
  2. 5
  3. 54
  4. 54
  5. 75
  6. 8
  7. 16
  8. 20
  9. 5
  10. 80
  11. 9
  12. 6
  13. 48
  14. 60
  15. 108
  16. 21
  17. 54
  18. 36
  19. 11
  20. 80
  21. 104
  22. 11
  23. 132
  24. 12
  25. 70
  26. 4
  27. 4
  28. 13
  29. 6
  30. 10
  31. 28
  32. 30
  33. 216
  34. 63
  35. 90
  36. 13
  37. 28
  38. 28
  39. 110
  40. 20

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