Find the LCM of 107, 813, 321, 431 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, 813, 321, 431. So, keep reading to learn more.
Given numbers are 107,813,321,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,813,321,431 is 37493121.
Find LCM of 107,813,321,431 with Prime Factorization
3 | 107, 813, 321, 431 |
107 | 107, 271, 107, 431 |
1, 271, 1, 431 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 1 x 271 x 1 x 431 = 37493121
Therefore, the lowest common multiple of 107,813,321,431 is 37493121.
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 813 x 321 x 431 = 12035291841
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
813 : 1, 3, 271, 813
321 : 1, 3, 107, 321
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,813,321,431, is 1.
Now, the common factors can be found like this.
107:107
813:3x 271
321:3x 107
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 107 = 321
Therefore, the value for common factors is 321.
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 = 12035291841/(1x321)
LCM = 12035291841/321
LCM = 37493121
Thus, we can understand that the LCM of 107,813,321,431 is 37493121.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 813, 321, 431?
Answer: LCM of 107, 813, 321, 431 is 37493121.
2. How to calculate the LCM of 107, 813, 321, 431?
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, 813, 321, 431.
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}.