Devising a liples Since some of the multiples of 3 are also multiples of 5, we nced to consider the 3. tersection of the set of multiples of 3 and the sets. multiples of 5. How many numbers less that of equal to 300 are multiples of both 3 and 53
To find the numbers that are multiples of both 3 and 5, we need to find the common multiples of these two numbers.
The multiples of 3 can be written as: 3, 6, 9, 12, 15, 18, ...
The multiples of 5 can be written as: 5, 10, 15, 20, 25, 30, ...
From these two lists, we can see that the common multiples are: 15, 30, 45, 60, 75, 90, ...
We need to find the number of common multiples that are less than or equal to 300.
Dividing 300 by 15, we get 20. Therefore, there are 20 common multiples of 3 and 5 that are less than or equal to 300.