What multiples do 8 and 12 have in common?
When we talk about multiples, we refer to numbers that can be divided evenly by a given number. In this case, we are interested in finding the numbers that are divisible by both 8 and 12. These numbers are called common multiples.
In order to find the common multiples of 8 and 12, we need to determine the multiples of each number separately. Let's start with 8:
The first few multiples of 8 are 8, 16, 24, 32, 40, 48, and so on. Now, let's find the multiples of 12:
The multiples of 12 are 12, 24, 36, 48, 60, 72, and so on. As you can see, both 8 and 12 have 24 and 48 in common. These numbers are divisible by both 8 and 12.
So, the common multiples of 8 and 12 are 24 and 48.
It is important to note that there are infinitely many common multiples of any two numbers. However, the smallest common multiple is called the least common multiple (LCM). In this case, the LCM of 8 and 12 is 24.
In conclusion, the common multiples of 8 and 12 include 24 and 48, with the least common multiple (LCM) being 24.
The numbers 8 and 12 share several common factors.
One such factor is the number 2. Both 8 and 12 are divisible by 2. In other words, they are even numbers.
Another common factor is the number 4. Both 8 and 12 can be divided evenly by 4.
Moreover, thirdly, both numbers are divisible by themselves. This means that 8 and 12 are both divisible by 8 and 12, respectively.
Lastly, fourthly, both 8 and 12 can be divided by the number 1 without leaving a remainder.
In conclusion, the factors that 8 and 12 have in common are 1, 2, 4, 8, and 12.
What are the 8 multiples of 12?
To find the multiples of 12, we need to multiply 12 by different numbers. The first multiple of 12 is 12 itself. The second multiple is obtained by multiplying 12 by 2, which gives us 24. The third multiple is obtained by multiplying 12 by 3, resulting in 36.
After 36, the multiples of 12 start getting bigger.
The fourth multiple is 12 multiplied by 4, which equals 48. The fifth multiple is obtained by multiplying 12 by 5, which gives us 60. The sixth multiple is 12 multiplied by 6, resulting in 72.
As we can see, the multiples of 12 increase by 12 each time.
The seventh multiple is obtained by multiplying 12 by 7, resulting in 84. The eighth and last multiple is 12 multiplied by 8, which equals 96. So, the eight multiples of 12 are 12, 24, 36, 48, 60, 72, 84, and 96.
These multiples follow a pattern where each number is 12 units apart.
Which of the following is the common multiple of 8 and 12?
When finding the common multiple of two numbers, we need to determine the smallest number that both numbers can be divided evenly into. In this case, we are looking for a number that is divisible by both 8 and 12.
To find the common multiple, we can list out the multiples of both numbers and look for the smallest number they have in common. The multiples of 8 are 8, 16, 24, 32, 40, 48, and so on. The multiples of 12 are 12, 24, 36, 48, 60, and so on.
The first number that appears in both lists is 24. Therefore, 24 is the common multiple of 8 and 12.
It is important to note that there are other common multiples of 8 and 12, such as 48, 72, and so on, but the smallest common multiple is 24.
In order to find the numbers that are multiples of both 8 and 12, we need to find the common multiples of these two numbers.
First, let's find the multiples of 8. The multiples of 8 are 8, 16, 24, 32, 40, and so on.
Next, let's find the multiples of 12. The multiples of 12 are 12, 24, 36, 48, 60, and so on.
Now, we can see that the common multiples between 8 and 12 are 24 and 48.
Therefore, the five numbers that are multiples of both 8 and 12 are 24, 48, 72, 96, and 120.
These numbers can be obtained by multiplying 8 and 12, and then continuing the pattern of adding multiples of the resulting product.
By finding the common multiples, we can determine the numbers that satisfy the condition of being multiples of both 8 and 12.