Find the LCM of 107, 417, 275, 957 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, 417, 275, 957. So, keep reading to learn more.
Given numbers are 107,417,275,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,417,275,957 is 355836525.
Find LCM of 107,417,275,957 with Prime Factorization
3 | 107, 417, 275, 957 |
11 | 107, 139, 275, 319 |
107, 139, 25, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 107 x 139 x 25 x 29 = 355836525
Therefore, the lowest common multiple of 107,417,275,957 is 355836525.
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 417 x 275 x 957 = 11742605325
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
417 : 1, 3, 139, 417
275 : 1, 5, 11, 25, 55, 275
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,417,275,957, is 1.
Now, the common factors can be found like this.
107:107
417:3x 139
275:5x 5x 11
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 11742605325/(1x33)
LCM = 11742605325/33
LCM = 355836525
Thus, we can understand that the LCM of 107,417,275,957 is 355836525.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 417, 275, 957?
Answer: LCM of 107, 417, 275, 957 is 355836525.
2. How to calculate the LCM of 107, 417, 275, 957?
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, 417, 275, 957.
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}.