Find the LCM of 508, 260, 114, 717, 355 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 508, 260, 114, 717, 355. So, keep reading to learn more.
Given numbers are 508,260,114,717,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,260,114,717,355 is 31938033660.
Find LCM of 508,260,114,717,355 with Prime Factorization
2 | 508, 260, 114, 717, 355 |
2 | 254, 130, 57, 717, 355 |
3 | 127, 65, 57, 717, 355 |
5 | 127, 65, 19, 239, 355 |
127, 13, 19, 239, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 13 x 19 x 239 x 71 = 31938033660
Therefore, the lowest common multiple of 508,260,114,717,355 is 31938033660.
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.
508 x 260 x 114 x 717 x 355 = 3832564039200
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.
508 : 1, 2, 4, 127, 254, 508
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
114 : 1, 2, 3, 6, 19, 38, 57, 114
717 : 1, 3, 239, 717
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,260,114,717,355, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
260:2x 2x 5x 13
114:2x 3x 19
717:3x 239
355:5x 71
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 3832564039200/(1x120)
LCM = 3832564039200/120
LCM = 31938033660
Thus, we can understand that the LCM of 508,260,114,717,355 is 31938033660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 260, 114, 717, 355?
Answer: LCM of 508, 260, 114, 717, 355 is 31938033660.
2. How to calculate the LCM of 508, 260, 114, 717, 355?
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 508, 260, 114, 717, 355.
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}.