LCM and HCF - One Line Questions

1. Find the HCF of $2^3 imes 3^2 imes 5$ and $2^2 imes 3^3 imes 7$. — $2^2 imes 3^2$
2. What is the LCM of $2^3 imes 3^2 imes 5$ and $2^2 imes 3^3 imes 7$? — $2^3 imes 3^3 imes 5 imes 7$
3. Find the LCM of $2^3 imes 3^2 imes 5$ and $2^2 imes 3^3 imes 7$. — $2^3 imes 3^3 imes 5 imes 7$
4. What is the HCF of $2^4 imes 3^3 imes 5^2$ and $2^3 imes 3^5 imes 7$? — $2^3 imes 3^3$
5. What is the LCM of 0.6 and 0.8? — 2.4
6. Find the HCF of 0.5 and 0.25. — 0.25
7. Find the HCF of 1.5, 2.5, and 3.5. — 0.5
8. What is the HCF of 1.5 and 0.75? — 0.75
9. Find the LCM of 1.2 and 0.4. — 1.2
10. Find the HCF of 15, 25, and 35. — 5
11. The LCM of three numbers is 120. Which of the following cannot be their HCF? — 15
12. Find the HCF of 100 and 120. — 20
13. If the LCM of two numbers is 60 and their HCF is 5, and one of the numbers is 20, what is the other number? — 30
14. Find the greatest number that divides 122 and 243 leaving remainders 2 and 3 respectively. — 10
15. What is the LCM of 15, 20, and 25? — 300
16. Find the smallest 4-digit number which is exactly divisible by 12, 18, and 24. — 1008
17. Find the LCM of 4, 6, and 8. — 24
18. Find the HCF of 108 and 144 using the Euclidean algorithm. — 36
19. What is the HCF of 96 and 120? — 24
20. If HCF(a, b) = 12 and a * b = 1800, find LCM(a, b). — 150
21. Find the HCF of 72, 108, and 180. — 36
22. The product of two numbers is 1200 and their HCF is 10. What is their LCM? — 120
23. Three numbers are in the ratio 2:3:4 and their HCF is 12. Find the numbers. — 24, 36, 48
24. What is the LCM of 24, 36, and 40? — 720
25. Find the LCM of 135 and 225. — 675
26. Find the HCF of 135 and 225. — 45
27. The HCF of two numbers is 16 and their LCM is 384. If one of the numbers is 64, find the other number. — 96
28. Find the smallest number which when divided by 6, 7, and 8 leaves remainders 3, 4, and 5 respectively. — 171
29. What is the largest number that divides 30 and 42 without leaving a remainder? — 6
30. What is the LCM of 2/3 and 4/5? — 4/15
31. The product of two numbers is 400 and their HCF is 5. What is their LCM? — 80
32. What is the least number which when divided by 18, 24, and 32 leaves remainders 5, 11, and 19 respectively? — 441
33. What is the smallest number that is divisible by all integers from 1 to 10? — 2520
34. What is the smallest number that is divisible by both 6 and 9? — 18
35. What is the HCF of 18, 27, and 45? — 9
36. Find the greatest common divisor of 513 and 693. — 27
37. Two bells toll at intervals of 12 minutes and 15 minutes respectively. If they both start tolling together, after how much time will they next toll together? — 60 minutes
38. What is the HCF of 3/4 and 6/7? — 3/28
39. Find the LCM of 5/6, 7/8, and 9/10. — 315/40
40. What is the Highest Common Factor (HCF) of 24 and 36? — 12
41. Find the smallest number that leaves a remainder of 1 when divided by 2, 3, 4, 5, and 6. — 61
42. What is the Least Common Multiple (LCM) of 12 and 18? — 36
43. What is the HCF of 36 and 48? — 12
44. If HCF(a, b) = 6 and LCM(a, b) = 36, and one number is 12, what is the other number? — 18
45. What is the LCM of 30 and 45? — 90
46. Find the LCM of 7, 14, and 21. — 42
47. The HCF of two numbers is 8. If the numbers are 8x and 8y where x and y are coprime, find their LCM in terms of x and y. — 8xy
48. Find the LCM of 16, 20, and 24. — 240
49. The HCF of two numbers is 9 and their LCM is 135. If one of the numbers is 27, find the other number. — 45
50. Find the largest 3-digit number which is exactly divisible by 15, 20, and 30. — 900
All One Line Questions
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