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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 932 · 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.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  2. 2.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 2, 12 and 15.
  4. 4.Find the LCM of 5 and 4.
  5. 5.Find the LCM of 4, 11 and 3.
  6. 6.Find the LCM of 2, 5 and 6.
  7. 7.Find the HCF of 30 and 70.
  8. 8.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  11. 11.Find the HCF of 18 and 12.
  12. 12.Find the LCM of 14, 4 and 2.
  13. 13.Find the LCM of 3, 8 and 7.
  14. 14.Find the LCM of 14, 7 and 11.
  15. 15.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  17. 17.Find the LCM of 27 and 6.
  18. 18.Find the HCF of 45 and 60.
  19. 19.Find the LCM of 6 and 15.
  20. 20.Find the LCM of 10, 3 and 4.
  21. 21.Find the HCF of 6 and 10.
  22. 22.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  23. 23.Find the LCM of 4, 10 and 9.
  24. 24.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  25. 25.Find the LCM of 18 and 14.
  26. 26.Find the LCM of 15, 2 and 10.
  27. 27.Find the LCM of 36 and 32.
  28. 28.Find the HCF of 56 and 42.
  29. 29.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  30. 30.Find the HCF of 14 and 6.
  31. 31.Find the HCF of 49 and 14.
  32. 32.Find the HCF of 75 and 90.
  33. 33.Find the LCM of 35 and 45.
  34. 34.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  35. 35.Find the HCF of 77 and 22.
  36. 36.Find the HCF of 36 and 16.
  37. 37.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  38. 38.Find the LCM of 7, 12 and 4.
  39. 39.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  40. 40.Find the LCM of 36 and 8.

Answer key

  1. 63
  2. 54
  3. 60
  4. 20
  5. 132
  6. 30
  7. 10
  8. 24
  9. 9
  10. 54
  11. 6
  12. 28
  13. 168
  14. 154
  15. 56
  16. 24
  17. 54
  18. 15
  19. 30
  20. 60
  21. 2
  22. 45
  23. 180
  24. 12
  25. 126
  26. 30
  27. 288
  28. 14
  29. 10
  30. 2
  31. 7
  32. 15
  33. 315
  34. 18
  35. 11
  36. 4
  37. 63
  38. 84
  39. 6
  40. 72

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