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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 869 · 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 5, 11 and 2.
  2. 2.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  3. 3.Find the LCM of 3, 10 and 5.
  4. 4.Find the LCM of 7, 15 and 3.
  5. 5.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  6. 6.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  7. 7.Find the HCF of 56 and 98.
  8. 8.Find the HCF of 56 and 70.
  9. 9.Find the LCM of 4, 5 and 2.
  10. 10.Find the LCM of 16 and 12.
  11. 11.Find the HCF of 45 and 30.
  12. 12.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  13. 13.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  14. 14.Find the HCF of 44 and 77.
  15. 15.Find the LCM of 27 and 6.
  16. 16.Find the LCM of 2, 9 and 13.
  17. 17.Find the LCM of 18 and 16.
  18. 18.Find the LCM of 4 and 3.
  19. 19.Find the LCM of 4, 12 and 11.
  20. 20.Find the HCF of 21 and 18.
  21. 21.Find the LCM of 2, 12 and 5.
  22. 22.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  23. 23.Find the HCF of 81 and 63.
  24. 24.Find the HCF of 30 and 42.
  25. 25.Find the HCF of 26 and 65.
  26. 26.Find the LCM of 13, 8 and 2.
  27. 27.Find the LCM of 3 and 8.
  28. 28.Find the LCM of 9, 7 and 2.
  29. 29.Find the HCF of 30 and 48.
  30. 30.Find the HCF of 15 and 35.
  31. 31.Find the HCF of 63 and 45.
  32. 32.Find the LCM of 11, 12 and 2.
  33. 33.Find the HCF of 15 and 18.
  34. 34.Find the LCM of 3, 6 and 12.
  35. 35.Find the LCM of 12, 5 and 3.
  36. 36.Find the HCF of 72 and 16.
  37. 37.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  38. 38.Find the HCF of 40 and 72.
  39. 39.Find the HCF of 54 and 48.
  40. 40.Find the LCM of 7, 12 and 3.

Answer key

  1. 110
  2. 24
  3. 30
  4. 105
  5. 4
  6. 12
  7. 14
  8. 14
  9. 20
  10. 48
  11. 15
  12. 42
  13. 35
  14. 11
  15. 54
  16. 234
  17. 144
  18. 12
  19. 132
  20. 3
  21. 60
  22. 18
  23. 9
  24. 6
  25. 13
  26. 104
  27. 24
  28. 126
  29. 6
  30. 5
  31. 9
  32. 132
  33. 3
  34. 12
  35. 60
  36. 8
  37. 15
  38. 8
  39. 6
  40. 84

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