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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 611 · 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 4, 7 and 5.
  2. 2.Find the LCM of 45 and 10.
  3. 3.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  4. 4.Find the HCF of 42 and 98.
  5. 5.Find the HCF of 36 and 32.
  6. 6.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  7. 7.Find the LCM of 14, 5 and 4.
  8. 8.Find the LCM of 36 and 20.
  9. 9.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  10. 10.Find the LCM of 9, 15 and 3.
  11. 11.Find the LCM of 15 and 27.
  12. 12.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  13. 13.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  14. 14.Find the LCM of 14 and 8.
  15. 15.Find the LCM of 5 and 7.
  16. 16.Find the LCM of 7 and 8.
  17. 17.Find the LCM of 10, 3 and 4.
  18. 18.Find the HCF of 20 and 12.
  19. 19.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  20. 20.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  21. 21.Find the HCF of 45 and 75.
  22. 22.Find the LCM of 9, 6 and 8.
  23. 23.Find the HCF of 70 and 98.
  24. 24.Find the LCM of 5, 14 and 10.
  25. 25.Find the LCM of 4 and 18.
  26. 26.Find the LCM of 8 and 7.
  27. 27.Find the LCM of 3, 15 and 9.
  28. 28.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  29. 29.Find the HCF of 24 and 27.
  30. 30.Find the LCM of 30 and 35.
  31. 31.Find the LCM of 3, 14 and 7.
  32. 32.Find the LCM of 36 and 42.
  33. 33.Find the LCM of 42 and 36.
  34. 34.Find the HCF of 30 and 54.
  35. 35.Find the LCM of 5, 6 and 14.
  36. 36.Find the HCF of 22 and 55.
  37. 37.Find the LCM of 24 and 21.
  38. 38.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  39. 39.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  40. 40.Find the LCM of 5 and 6.

Answer key

  1. 140
  2. 90
  3. 21
  4. 14
  5. 4
  6. 42
  7. 140
  8. 180
  9. 24
  10. 45
  11. 135
  12. 21
  13. 21
  14. 56
  15. 35
  16. 56
  17. 60
  18. 4
  19. 36
  20. 30
  21. 15
  22. 72
  23. 14
  24. 70
  25. 36
  26. 56
  27. 45
  28. 56
  29. 3
  30. 210
  31. 42
  32. 252
  33. 252
  34. 6
  35. 210
  36. 11
  37. 168
  38. 21
  39. 8
  40. 30

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