Find the LCM of 628, 106, 628, 878 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 628, 106, 628, 878. So, keep reading to learn more.
Given numbers are 628,106,628,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,106,628,878 is 14611676.
Find LCM of 628,106,628,878 with Prime Factorization
2 | 628, 106, 628, 878 |
2 | 314, 53, 314, 439 |
157 | 157, 53, 157, 439 |
1, 53, 1, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 157 x 1 x 53 x 1 x 439 = 14611676
Therefore, the lowest common multiple of 628,106,628,878 is 14611676.
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.
628 x 106 x 628 x 878 = 36704530112
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.
628 : 1, 2, 4, 157, 314, 628
106 : 1, 2, 53, 106
628 : 1, 2, 4, 157, 314, 628
878 : 1, 2, 439, 878
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,106,628,878, is 2.
Now, the common factors can be found like this.
628:2x 2x 157
106:2x 53
628:2x 2x 157
878:2x 439
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 157 = 1256
Therefore, the value for common factors is 1256.
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 = 36704530112/(2x1256)
LCM = 36704530112/2512
LCM = 14611676
Thus, we can understand that the LCM of 628,106,628,878 is 14611676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 628, 106, 628, 878?
Answer: LCM of 628, 106, 628, 878 is 14611676.
2. How to calculate the LCM of 628, 106, 628, 878?
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 628, 106, 628, 878.
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}.