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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 987 · 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, 6 and 7.
  2. 2.Find the LCM of 36 and 8.
  3. 3.Find the LCM of 16 and 14.
  4. 4.Find the LCM of 5 and 3.
  5. 5.Find the LCM of 45 and 10.
  6. 6.Find the HCF of 35 and 14.
  7. 7.Find the LCM of 24 and 54.
  8. 8.Find the HCF of 28 and 8.
  9. 9.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  11. 11.Find the HCF of 27 and 24.
  12. 12.Find the HCF of 12 and 32.
  13. 13.Find the LCM of 4, 12 and 15.
  14. 14.Find the LCM of 20 and 8.
  15. 15.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  16. 16.Find the LCM of 6, 12 and 4.
  17. 17.Find the HCF of 6 and 16.
  18. 18.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  19. 19.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 15, 11 and 3.
  21. 21.Find the LCM of 15, 5 and 6.
  22. 22.Find the LCM of 15 and 27.
  23. 23.Find the LCM of 10 and 4.
  24. 24.Find the LCM of 4, 11 and 8.
  25. 25.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  26. 26.Find the HCF of 60 and 108.
  27. 27.Find the HCF of 33 and 44.
  28. 28.Find the LCM of 4, 2 and 3.
  29. 29.Find the LCM of 13, 4 and 2.
  30. 30.Find the LCM of 6 and 4.
  31. 31.Find the HCF of 120 and 45.
  32. 32.Find the LCM of 42 and 18.
  33. 33.Find the LCM of 8, 15 and 5.
  34. 34.Find the LCM of 3, 14 and 10.
  35. 35.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 5 and 6.
  37. 37.Find the LCM of 21 and 9.
  38. 38.Find the HCF of 9 and 12.
  39. 39.Find the LCM of 15 and 25.
  40. 40.Find the LCM of 16 and 6.

Answer key

  1. 210
  2. 72
  3. 112
  4. 15
  5. 90
  6. 7
  7. 216
  8. 4
  9. 72
  10. 27
  11. 3
  12. 4
  13. 60
  14. 40
  15. 12
  16. 12
  17. 2
  18. 9
  19. 20
  20. 165
  21. 30
  22. 135
  23. 20
  24. 88
  25. 6
  26. 12
  27. 11
  28. 12
  29. 52
  30. 12
  31. 15
  32. 126
  33. 120
  34. 210
  35. 8
  36. 30
  37. 63
  38. 3
  39. 75
  40. 48

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