The numbers divisible by 15, 20, and 35 are all multiples of their Least Common Multiple (LCM).
Based on the reference provided, 420 is the smallest number that is exactly divisible by 15, 20, and 35. This means that any multiple of 420 will also be divisible by all three numbers.
To be precise, the numbers divisible by 15, 20, and 35 are:
- 420
- 840 (420 * 2)
- 1260 (420 * 3)
- 1680 (420 * 4)
- ...and so on.
In other words, the numbers are 420n, where 'n' is any positive integer (1, 2, 3, 4, ...).
Here's a table illustrating the first few multiples:
| Multiple (n) | Number | Divisible by 15 | Divisible by 20 | Divisible by 35 |
|---|---|---|---|---|
| 1 | 420 | Yes | Yes | Yes |
| 2 | 840 | Yes | Yes | Yes |
| 3 | 1260 | Yes | Yes | Yes |
| 4 | 1680 | Yes | Yes | Yes |
| 5 | 2100 | Yes | Yes | Yes |
Therefore, any number that is a multiple of 420 will be divisible by 15, 20, and 35.
