Five numbers that are multiples of both 9 and 12 are: 36, 72, 108, 144, and 180.
To find numbers that are multiples of both 9 and 12, we need to find their common multiples. The easiest way to do this is to find the Least Common Multiple (LCM) of 9 and 12 first.
The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, ...
The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, ...
The least common multiple (LCM) of 9 and 12 is 36. This means that 36 is the smallest number that is divisible by both 9 and 12. Any multiple of 36 will also be a multiple of both 9 and 12.
Therefore, we can generate more common multiples by multiplying the LCM (36) by different integers:
- 36 * 1 = 36
- 36 * 2 = 72
- 36 * 3 = 108
- 36 * 4 = 144
- 36 * 5 = 180
These are five examples of numbers divisible by both 9 and 12.
