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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 885 · 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 15, 5 and 12.
  2. 2.Find the LCM of 5, 8 and 6.
  3. 3.Find the HCF of 33 and 44.
  4. 4.Find the LCM of 4, 3 and 13.
  5. 5.Find the LCM of 3, 12 and 9.
  6. 6.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  7. 7.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  8. 8.Find the HCF of 55 and 66.
  9. 9.Find the HCF of 45 and 35.
  10. 10.Find the LCM of 24 and 42.
  11. 11.Find the HCF of 27 and 36.
  12. 12.Find the HCF of 39 and 104.
  13. 13.Find the HCF of 21 and 35.
  14. 14.Find the LCM of 18 and 14.
  15. 15.Find the HCF of 48 and 108.
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  17. 17.Find the HCF of 60 and 36.
  18. 18.Find the HCF of 36 and 45.
  19. 19.Find the LCM of 7 and 8.
  20. 20.Find the HCF of 25 and 35.
  21. 21.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  22. 22.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  23. 23.Find the HCF of 120 and 105.
  24. 24.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  25. 25.Find the LCM of 14, 9 and 6.
  26. 26.Find the LCM of 13, 2 and 10.
  27. 27.Find the LCM of 15 and 20.
  28. 28.Find the LCM of 8, 14 and 4.
  29. 29.Find the LCM of 7, 9 and 2.
  30. 30.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 35 and 45.
  33. 33.Find the HCF of 30 and 50.
  34. 34.Find the HCF of 12 and 10.
  35. 35.Find the LCM of 12, 3 and 15.
  36. 36.Find the HCF of 30 and 24.
  37. 37.Find the HCF of 72 and 81.
  38. 38.Find the HCF of 28 and 32.
  39. 39.Find the LCM of 11, 3 and 9.
  40. 40.Find the LCM of 48 and 18.

Answer key

  1. 60
  2. 120
  3. 11
  4. 156
  5. 36
  6. 49
  7. 10
  8. 11
  9. 5
  10. 168
  11. 9
  12. 13
  13. 7
  14. 126
  15. 12
  16. 28
  17. 12
  18. 9
  19. 56
  20. 5
  21. 28
  22. 42
  23. 15
  24. 40
  25. 126
  26. 130
  27. 60
  28. 56
  29. 126
  30. 15
  31. 20
  32. 315
  33. 10
  34. 2
  35. 60
  36. 6
  37. 9
  38. 4
  39. 99
  40. 144

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