Find the LCM of 9213, 3072 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 9213, 3072. So, keep reading to learn more.
Given numbers are 9213,3072
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9213,3072 is 9434112.
Find LCM of 9213,3072 with Prime Factorization
| 3 | 9213, 3072 |
| 3071, 1024 |
Multiply the prime numbers at the bottom and the left side.
3 x 3071 x 1024 = 9434112
Therefore, the lowest common multiple of 9213,3072 is 9434112.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
9213 x 3072 = 28302336
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
9213 : 1, 3, 37, 83, 111, 249, 3071, 9213
3072 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9213,3072, is 3.
Now, the common factors can be found like this.
9213:3x 37x 83
3072:2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 28302336/(3x1)
LCM = 28302336/3
LCM = 9434112
Thus, we can understand that the LCM of 9213,3072 is 9434112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9213, 3072?
Answer: LCM of 9213, 3072 is 9434112.
2. How to calculate the LCM of 9213, 3072?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 9213, 3072.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.