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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 777 · 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 HCF of 12 and 54.
  2. 2.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  4. 4.Find the LCM of 3, 15 and 11.
  5. 5.Find the LCM of 3, 9 and 5.
  6. 6.Find the LCM of 5 and 8.
  7. 7.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  8. 8.Find the LCM of 8, 14 and 6.
  9. 9.Find the LCM of 48 and 18.
  10. 10.Find the LCM of 5 and 7.
  11. 11.Find the LCM of 3, 2 and 5.
  12. 12.Find the LCM of 9, 6 and 8.
  13. 13.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  14. 14.Find the LCM of 4, 10 and 15.
  15. 15.Find the LCM of 3, 2 and 12.
  16. 16.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  17. 17.Find the LCM of 5 and 2.
  18. 18.Find the LCM of 2, 4 and 8.
  19. 19.Find the LCM of 3 and 4.
  20. 20.Find the LCM of 3, 2 and 14.
  21. 21.Find the LCM of 6 and 14.
  22. 22.Find the LCM of 2, 7 and 13.
  23. 23.Find the HCF of 50 and 40.
  24. 24.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  25. 25.Find the LCM of 28 and 32.
  26. 26.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  27. 27.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  28. 28.Find the LCM of 14, 6 and 7.
  29. 29.Find the LCM of 6, 13 and 4.
  30. 30.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  31. 31.Find the HCF of 44 and 77.
  32. 32.Find the LCM of 6 and 16.
  33. 33.Find the HCF of 112 and 126.
  34. 34.Find the HCF of 45 and 25.
  35. 35.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  36. 36.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 2, 8 and 7.
  38. 38.Find the LCM of 21 and 9.
  39. 39.Find the LCM of 12, 5 and 10.
  40. 40.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?

Answer key

  1. 6
  2. 16
  3. 21
  4. 165
  5. 45
  6. 40
  7. 15
  8. 168
  9. 144
  10. 35
  11. 30
  12. 72
  13. 72
  14. 60
  15. 12
  16. 36
  17. 10
  18. 8
  19. 12
  20. 42
  21. 42
  22. 182
  23. 10
  24. 45
  25. 224
  26. 14
  27. 42
  28. 42
  29. 156
  30. 35
  31. 11
  32. 48
  33. 14
  34. 5
  35. 6
  36. 42
  37. 56
  38. 63
  39. 60
  40. 14

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