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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 819 · 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 2, 4 and 12.
  2. 2.Find the HCF of 20 and 16.
  3. 3.Find the HCF of 14 and 6.
  4. 4.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  5. 5.Find the HCF of 4 and 6.
  6. 6.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  7. 7.Find the LCM of 12, 9 and 6.
  8. 8.Find the LCM of 42 and 12.
  9. 9.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  10. 10.Find the HCF of 56 and 42.
  11. 11.Find the LCM of 8, 12 and 4.
  12. 12.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  13. 13.Find the HCF of 6 and 14.
  14. 14.Find the HCF of 135 and 120.
  15. 15.Find the HCF of 56 and 32.
  16. 16.Find the LCM of 3, 9 and 14.
  17. 17.Find the HCF of 18 and 21.
  18. 18.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  19. 19.Find the HCF of 15 and 20.
  20. 20.Find the HCF of 65 and 117.
  21. 21.Find the LCM of 3, 11 and 12.
  22. 22.Find the LCM of 14 and 16.
  23. 23.Find the LCM of 5, 6 and 9.
  24. 24.Find the LCM of 32 and 12.
  25. 25.Find the LCM of 25 and 10.
  26. 26.Find the LCM of 30 and 48.
  27. 27.Find the LCM of 10 and 35.
  28. 28.Find the LCM of 20 and 24.
  29. 29.Find the LCM of 42 and 30.
  30. 30.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  31. 31.Find the LCM of 24 and 30.
  32. 32.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  33. 33.Find the HCF of 105 and 45.
  34. 34.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  36. 36.Find the LCM of 11, 9 and 2.
  37. 37.Find the LCM of 13, 8 and 2.
  38. 38.Find the LCM of 7, 12 and 4.
  39. 39.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  40. 40.Find the LCM of 13, 12 and 4.

Answer key

  1. 12
  2. 4
  3. 2
  4. 12
  5. 2
  6. 16
  7. 36
  8. 84
  9. 18
  10. 14
  11. 24
  12. 32
  13. 2
  14. 15
  15. 8
  16. 126
  17. 3
  18. 14
  19. 5
  20. 13
  21. 132
  22. 112
  23. 90
  24. 96
  25. 50
  26. 240
  27. 70
  28. 120
  29. 210
  30. 24
  31. 120
  32. 21
  33. 15
  34. 9
  35. 12
  36. 198
  37. 104
  38. 84
  39. 56
  40. 156

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