Find the LCM of 9568, 2374 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 9568, 2374. So, keep reading to learn more.
Given numbers are 9568,2374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9568,2374 is 11357216.
Find LCM of 9568,2374 with Prime Factorization
| 2 | 9568, 2374 |
| 4784, 1187 |
Multiply the prime numbers at the bottom and the left side.
2 x 4784 x 1187 = 11357216
Therefore, the lowest common multiple of 9568,2374 is 11357216.
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.
9568 x 2374 = 22714432
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.
9568 : 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
2374 : 1, 2, 1187, 2374
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9568,2374, is 2.
Now, the common factors can be found like this.
9568:2x 2x 2x 2x 2x 13x 23
2374:2x 1187
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 = 22714432/(2x1)
LCM = 22714432/2
LCM = 11357216
Thus, we can understand that the LCM of 9568,2374 is 11357216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9568, 2374?
Answer: LCM of 9568, 2374 is 11357216.
2. How to calculate the LCM of 9568, 2374?
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 9568, 2374.
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}.