Which of the following numbers is a common multiple of 3 and 5?

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Question: Which of the following numbers is a common multiple of 3 and 5?

Options:

Correct Answer: 15

Solution:

15 is the smallest common multiple of 3 and 5, and 30 is also a common multiple. However, 15 is the first one listed.

Which of the following numbers is a common multiple of 3 and 5?

Which of the following numbers is a common multiple of 3 and 5?

Step 1: Understand what a common multiple is. A common multiple of two numbers is a number that both of them can divide without leaving a remainder.
Step 2: List the multiples of 3. The first few multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Step 3: List the multiples of 5. The first few multiples of 5 are 5, 10, 15, 20, 25, 30, ...
Step 4: Look for numbers that appear in both lists. From the lists, we see that 15 and 30 are in both.
Step 5: Identify the smallest common multiple. The smallest number that appears in both lists is 15.
Step 6: Conclude that 15 is a common multiple of 3 and 5.

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