Find the LCM of 107, 107, 451, 968 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, 107, 451, 968. So, keep reading to learn more.
Given numbers are 107,107,451,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,107,451,968 is 4246616.
Find LCM of 107,107,451,968 with Prime Factorization
11 | 107, 107, 451, 968 |
107 | 107, 107, 41, 88 |
1, 1, 41, 88 |
Multiply the prime numbers at the bottom and the left side.
11 x 107 x 1 x 1 x 41 x 88 = 4246616
Therefore, the lowest common multiple of 107,107,451,968 is 4246616.
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 107 x 451 x 968 = 4998267032
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
107 : 1, 107
451 : 1, 11, 41, 451
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,107,451,968, is 1.
Now, the common factors can be found like this.
107:107
107:107
451:11x 41
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 107 = 1177
Therefore, the value for common factors is 1177.
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 = 4998267032/(1x1177)
LCM = 4998267032/1177
LCM = 4246616
Thus, we can understand that the LCM of 107,107,451,968 is 4246616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 107, 451, 968?
Answer: LCM of 107, 107, 451, 968 is 4246616.
2. How to calculate the LCM of 107, 107, 451, 968?
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, 107, 451, 968.
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}.