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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 148 · 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 HCF of 40 and 90.
  2. 2.Find the HCF of 66 and 55.
  3. 3.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  4. 4.Find the LCM of 15, 12 and 9.
  5. 5.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  6. 6.Find the HCF of 21 and 14.
  7. 7.Find the LCM of 15, 5 and 2.
  8. 8.Find the LCM of 6 and 9.
  9. 9.Find the LCM of 9 and 21.
  10. 10.Find the HCF of 105 and 120.
  11. 11.Find the HCF of 65 and 52.
  12. 12.Find the HCF of 30 and 70.
  13. 13.Find the LCM of 4 and 7.
  14. 14.Find the HCF of 9 and 6.
  15. 15.Find the LCM of 15 and 20.
  16. 16.Find the LCM of 6 and 4.
  17. 17.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  18. 18.Find the LCM of 10 and 45.
  19. 19.Find the HCF of 50 and 30.
  20. 20.Find the LCM of 10 and 8.
  21. 21.Find the HCF of 45 and 30.
  22. 22.Find the LCM of 18 and 12.
  23. 23.Find the LCM of 15 and 6.
  24. 24.Find the LCM of 11, 5 and 15.
  25. 25.Find the LCM of 5, 4 and 3.
  26. 26.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  27. 27.Find the LCM of 30 and 12.
  28. 28.Find the LCM of 24 and 21.
  29. 29.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 4, 11 and 5.
  31. 31.Find the LCM of 12, 15 and 8.
  32. 32.Find the LCM of 3 and 7.
  33. 33.Find the LCM of 48 and 54.
  34. 34.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  35. 35.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  36. 36.Find the LCM of 6, 14 and 5.
  37. 37.Find the LCM of 13, 2 and 3.
  38. 38.Find the LCM of 32 and 36.
  39. 39.Find the LCM of 11, 6 and 9.
  40. 40.Find the LCM of 2, 4 and 5.

Answer key

  1. 10
  2. 11
  3. 14
  4. 180
  5. 16
  6. 7
  7. 30
  8. 18
  9. 63
  10. 15
  11. 13
  12. 10
  13. 28
  14. 3
  15. 60
  16. 12
  17. 35
  18. 90
  19. 10
  20. 40
  21. 15
  22. 36
  23. 30
  24. 165
  25. 60
  26. 28
  27. 60
  28. 168
  29. 21
  30. 220
  31. 120
  32. 21
  33. 432
  34. 35
  35. 40
  36. 210
  37. 78
  38. 288
  39. 198
  40. 20

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