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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 809 · 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 14, 4 and 2.
  2. 2.Find the LCM of 30 and 24.
  3. 3.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  4. 4.Find the LCM of 30 and 12.
  5. 5.Find the LCM of 3, 7 and 14.
  6. 6.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  7. 7.Find the LCM of 16 and 18.
  8. 8.Find the LCM of 14 and 16.
  9. 9.Find the HCF of 6 and 4.
  10. 10.Find the LCM of 12 and 18.
  11. 11.Find the HCF of 48 and 30.
  12. 12.Find the HCF of 36 and 8.
  13. 13.Find the HCF of 20 and 90.
  14. 14.Find the LCM of 2, 11 and 3.
  15. 15.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  16. 16.Find the HCF of 18 and 42.
  17. 17.Find the HCF of 14 and 18.
  18. 18.Find the HCF of 56 and 98.
  19. 19.Find the LCM of 27 and 21.
  20. 20.Find the LCM of 6, 9 and 3.
  21. 21.Find the LCM of 2, 9 and 3.
  22. 22.Find the LCM of 5, 10 and 15.
  23. 23.Find the LCM of 3, 12 and 9.
  24. 24.Find the LCM of 14, 3 and 7.
  25. 25.Find the LCM of 9 and 24.
  26. 26.Find the LCM of 15 and 27.
  27. 27.Find the LCM of 28 and 32.
  28. 28.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  29. 29.Find the HCF of 126 and 112.
  30. 30.Find the LCM of 5, 10 and 11.
  31. 31.Find the HCF of 60 and 84.
  32. 32.Find the HCF of 21 and 6.
  33. 33.Find the HCF of 32 and 28.
  34. 34.Find the HCF of 42 and 35.
  35. 35.Find the LCM of 5, 14 and 7.
  36. 36.Find the HCF of 56 and 35.
  37. 37.Find the LCM of 10 and 6.
  38. 38.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  39. 39.Find the LCM of 20 and 45.
  40. 40.Find the LCM of 7 and 6.

Answer key

  1. 28
  2. 120
  3. 40
  4. 60
  5. 42
  6. 45
  7. 144
  8. 112
  9. 2
  10. 36
  11. 6
  12. 4
  13. 10
  14. 66
  15. 30
  16. 6
  17. 2
  18. 14
  19. 189
  20. 18
  21. 18
  22. 30
  23. 36
  24. 42
  25. 72
  26. 135
  27. 224
  28. 18
  29. 14
  30. 110
  31. 12
  32. 3
  33. 4
  34. 7
  35. 70
  36. 7
  37. 30
  38. 21
  39. 180
  40. 42

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