Find the least common multiple of 4 and 6 ( 1 point)
12
24
2
36
The least common multiple of 4 and 6 is 12.
To find the least common multiple (LCM) of 4 and 6, you can follow these steps:
Step 1: List the multiples of each number.
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
- Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
Step 2: Identify the smallest common multiple in the lists.
- From the multiples listed, we can see that 12 is the smallest common multiple of both 4 and 6.
Therefore, the least common multiple (LCM) of 4 and 6 is 12.
To find the least common multiple (LCM) of two numbers, you can use the prime factorization method or the method of listing multiples. Let's use the method of listing multiples for the numbers 4 and 6.
First, let's list the multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
Next, let's list the multiples of 6: 6, 12, 18, 24, 30, 36, ...
We can see that the common multiples of 4 and 6 are 12, 24, and so on.
The least common multiple (LCM) is the smallest number that is divisible by both 4 and 6. From the common multiples we listed, we can see that the smallest common multiple of 4 and 6 is 12.
So, the least common multiple (LCM) of 4 and 6 is 12. Therefore, the correct answer is 12.