The first three common multiples of 5 and 10 are 10, 20, and 30. Their Least Common Multiple (LCM) is 10.
Finding Common Multiples
To find the common multiples of two numbers, you can list the multiples of each number and identify the ones they have in common.
- Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50...
- Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100...
The first three common multiples are, therefore, 10, 20, and 30.
Least Common Multiple (LCM)
The Least Common Multiple (LCM) is the smallest number that is a multiple of both numbers. In this case, we can observe that:
- 10 is a multiple of 5 (5 x 2 = 10)
- 10 is a multiple of 10 (10 x 1 = 10)
Therefore, the LCM of 5 and 10 is 10. Since 10 is the smallest common multiple, it's also the LCM.
