Find the LCM of 635, 751, 627, 308, 317 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 635, 751, 627, 308, 317. So, keep reading to learn more.
Given numbers are 635,751,627,308,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,751,627,308,317 is 2653985200020.
Find LCM of 635,751,627,308,317 with Prime Factorization
11 | 635, 751, 627, 308, 317 |
635, 751, 57, 28, 317 |
Multiply the prime numbers at the bottom and the left side.
11 x 635 x 751 x 57 x 28 x 317 = 2653985200020
Therefore, the lowest common multiple of 635,751,627,308,317 is 2653985200020.
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.
635 x 751 x 627 x 308 x 317 = 29193837200220
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.
635 : 1, 5, 127, 635
751 : 1, 751
627 : 1, 3, 11, 19, 33, 57, 209, 627
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,751,627,308,317, is 1.
Now, the common factors can be found like this.
635:5x 127
751:751
627:3x 11x 19
308:2x 2x 7x 11
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 29193837200220/(1x11)
LCM = 29193837200220/11
LCM = 2653985200020
Thus, we can understand that the LCM of 635,751,627,308,317 is 2653985200020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 751, 627, 308, 317?
Answer: LCM of 635, 751, 627, 308, 317 is 2653985200020.
2. How to calculate the LCM of 635, 751, 627, 308, 317?
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 635, 751, 627, 308, 317.
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}.