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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 507 · 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 9, 2 and 11.
  2. 2.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  3. 3.Find the HCF of 45 and 60.
  4. 4.Find the LCM of 14, 5 and 7.
  5. 5.Find the HCF of 21 and 27.
  6. 6.Find the LCM of 5, 15 and 4.
  7. 7.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  8. 8.Find the LCM of 15, 5 and 9.
  9. 9.Find the LCM of 3, 15 and 9.
  10. 10.Find the LCM of 21 and 9.
  11. 11.Find the LCM of 8 and 36.
  12. 12.Find the LCM of 14, 2 and 9.
  13. 13.Find the LCM of 48 and 30.
  14. 14.Find the LCM of 10 and 25.
  15. 15.Find the HCF of 22 and 55.
  16. 16.Find the LCM of 11, 6 and 12.
  17. 17.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  18. 18.Find the LCM of 3 and 7.
  19. 19.Find the LCM of 8 and 10.
  20. 20.Find the HCF of 55 and 44.
  21. 21.Find the LCM of 6, 7 and 5.
  22. 22.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  23. 23.Find the HCF of 18 and 24.
  24. 24.Find the LCM of 11, 10 and 5.
  25. 25.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  26. 26.Find the LCM of 13, 3 and 12.
  27. 27.Find the LCM of 12, 11 and 6.
  28. 28.Find the LCM of 35 and 40.
  29. 29.Find the HCF of 135 and 75.
  30. 30.Find the LCM of 45 and 40.
  31. 31.Find the LCM of 4, 6 and 3.
  32. 32.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  33. 33.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  34. 34.Find the LCM of 8, 11 and 4.
  35. 35.Find the LCM of 15 and 10.
  36. 36.Find the LCM of 10, 13 and 2.
  37. 37.Find the HCF of 16 and 6.
  38. 38.Find the HCF of 80 and 70.
  39. 39.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  40. 40.Find the LCM of 21 and 18.

Answer key

  1. 198
  2. 10
  3. 15
  4. 70
  5. 3
  6. 60
  7. 20
  8. 45
  9. 45
  10. 63
  11. 72
  12. 126
  13. 240
  14. 50
  15. 11
  16. 132
  17. 45
  18. 21
  19. 40
  20. 11
  21. 210
  22. 56
  23. 6
  24. 110
  25. 27
  26. 156
  27. 132
  28. 280
  29. 15
  30. 360
  31. 12
  32. 40
  33. 16
  34. 88
  35. 30
  36. 130
  37. 2
  38. 10
  39. 24
  40. 126

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