To find the Least Common Multiple (L.C.M.) of the numbers 5, 10, and 25, follow these steps:
1. Start with the first two numbers: 5 and 10.
- The L.C.M. of two numbers is the smallest number that is a multiple of both. To find this, you can list the multiples of each number and find the smallest common multiple:
- Multiples of 5: 5, 10, 15, 20, 25, 30, ...
- Multiples of 10: 10, 20, 30, 40, ...
- The smallest common multiple is 10.
Therefore, the L.C.M. of 5 and 10 is 10.
2. Next, find the L.C.M. of the result (10) and the third number (25):
- List the multiples of 10 and 25 to find the smallest common multiple:
- Multiples of 10: 10, 20, 30, 40, 50, 60, ...
- Multiples of 25: 25, 50, 75, 100, ...
- The smallest common multiple is 50.
Therefore, the L.C.M. of 10 and 25 is 50.
In conclusion, the L.C.M. of 5, 10, and 25 is 50.
