Find the LCM of 107, 836, 682, 428 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 107, 836, 682, 428. So, keep reading to learn more.
Given numbers are 107,836,682,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,836,682,428 is 2773012.
Find LCM of 107,836,682,428 with Prime Factorization
2 | 107, 836, 682, 428 |
2 | 107, 418, 341, 214 |
11 | 107, 209, 341, 107 |
107 | 107, 19, 31, 107 |
1, 19, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 107 x 1 x 19 x 31 x 1 = 2773012
Therefore, the lowest common multiple of 107,836,682,428 is 2773012.
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.
107 x 836 x 682 x 428 = 26110680992
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.
107 : 1, 107
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
682 : 1, 2, 11, 22, 31, 62, 341, 682
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,836,682,428, is 1.
Now, the common factors can be found like this.
107:107
836:2x 2x 11x 19
682:2x 11x 31
428:2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 107 = 9416
Therefore, the value for common factors is 9416.
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 = 26110680992/(1x9416)
LCM = 26110680992/9416
LCM = 2773012
Thus, we can understand that the LCM of 107,836,682,428 is 2773012.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 836, 682, 428?
Answer: LCM of 107, 836, 682, 428 is 2773012.
2. How to calculate the LCM of 107, 836, 682, 428?
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 107, 836, 682, 428.
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}.