LCM for 2, 4, 6
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 2, 4, and 6. To find the LCM, we need to determine the smallest multiple that is common to all three numbers.
Answer
The least common multiple of 2, 4, and 6 is $12$.
Answer for screen readers
The least common multiple of 2, 4, and 6 is $12$.
Steps to Solve
- List the Multiples of Each Number
First, we will list the multiples of the given numbers (2, 4, and 6):
- Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
- Multiples of 4: 4, 8, 12, 16, 20, ...
- Multiples of 6: 6, 12, 18, 24, ...
- Identify the Common Multiples
Next, we will look for the common multiples in the lists we've created.
- From the lists, we see the common multiples are:
- 12, 24, ...
- Select the Least Common Multiple
Now that we have the common multiples, the least common multiple (LCM) is the smallest one in that list.
- The smallest common multiple is:
- 12
Thus, the LCM of 2, 4, and 6 is 12.
The least common multiple of 2, 4, and 6 is $12$.
More Information
The least common multiple (LCM) is useful in many areas of mathematics, particularly in solving problems that involve multiple fractions or finding common denominators.
Tips
Common mistakes include:
- Miscounting the multiples
- Including numbers that are not multiples of all three numbers To avoid these, ensure to double-check the multiples against all three original numbers.
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