What is the least common multiple of 2, 5, and 3?

To find the least common multiple (LCM) of the numbers 2, 5, and 3, we need to identify the smallest number that is a multiple of all three.

Step-by-Step Calculation

First, let's list the multiples of each number:

• Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
• Multiples of 5: 5, 10, 15, 20, 25, ...
• Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ...

Finding the Common Multiple

Next, we look for the smallest number that appears in all three lists:

• 10 is a multiple of 2 and 5.
• 15 is a multiple of 5 and 3.
• 6 is a multiple of 2 and 3.
• However, 30 is the first number that is a multiple of 2, 5, and 3.

The Result

Thus, the least common multiple of 2, 5, and 3 is 30.