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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 347 · 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 10 and 15.
  2. 2.Find the LCM of 35 and 15.
  3. 3.Find the LCM of 8, 10 and 3.
  4. 4.Find the LCM of 42 and 12.
  5. 5.Find the LCM of 7 and 4.
  6. 6.Find the LCM of 15, 12 and 9.
  7. 7.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  8. 8.Find the LCM of 6, 12 and 4.
  9. 9.Find the LCM of 30 and 12.
  10. 10.Find the LCM of 35 and 10.
  11. 11.Find the LCM of 48 and 42.
  12. 12.Find the HCF of 70 and 40.
  13. 13.Find the HCF of 10 and 25.
  14. 14.Find the LCM of 7 and 8.
  15. 15.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  16. 16.Find the LCM of 2, 7 and 8.
  17. 17.Find the HCF of 45 and 25.
  18. 18.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 6, 12 and 11.
  20. 20.Find the HCF of 28 and 42.
  21. 21.Find the HCF of 40 and 45.
  22. 22.Find the LCM of 8 and 36.
  23. 23.Find the LCM of 9, 8 and 12.
  24. 24.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  25. 25.Find the LCM of 3 and 7.
  26. 26.Find the HCF of 56 and 63.
  27. 27.Find the LCM of 32 and 12.
  28. 28.Find the HCF of 35 and 10.
  29. 29.Find the HCF of 60 and 36.
  30. 30.Find the LCM of 18 and 42.
  31. 31.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 6, 13 and 4.
  33. 33.Find the LCM of 48 and 30.
  34. 34.Find the LCM of 2, 13 and 10.
  35. 35.Find the HCF of 27 and 24.
  36. 36.Find the LCM of 14, 15 and 10.
  37. 37.Find the LCM of 3, 2 and 9.
  38. 38.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  40. 40.Find the LCM of 12, 4 and 6.

Answer key

  1. 30
  2. 105
  3. 120
  4. 84
  5. 28
  6. 180
  7. 21
  8. 12
  9. 60
  10. 70
  11. 336
  12. 10
  13. 5
  14. 56
  15. 24
  16. 56
  17. 5
  18. 32
  19. 132
  20. 14
  21. 5
  22. 72
  23. 72
  24. 14
  25. 21
  26. 7
  27. 96
  28. 5
  29. 12
  30. 126
  31. 4
  32. 156
  33. 240
  34. 130
  35. 3
  36. 210
  37. 18
  38. 24
  39. 56
  40. 12

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