Donna must choose a number between and that is a multiple of , , and . Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Your numbers are not given.
To find the numbers that Donna could choose, we need to determine the multiples of 5, 6, and 8 and find the common multiples.
First, let's find the multiples of 5:
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
5 x 5 = 25
5 x 6 = 30
...
Next, let's find the multiples of 6:
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
...
Now, let's find the multiples of 8:
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
...
To find the common multiples, we need to look for numbers that appear in all three lists. The common multiples of 5, 6, and 8 are: 30, 60, 90, 120, 150, 180, 210, 240, ...
Therefore, the numbers that Donna could choose between 1 and ∞ that are multiples of 5, 6, and 8 are: 30, 60, 90, 120, 150, 180, 210, 240, ...