Find the LCM of 717, 260, 845, 260, 934 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 717, 260, 845, 260, 934. So, keep reading to learn more.
Given numbers are 717,260,845,260,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,260,845,260,934 is 1131755820.
Find LCM of 717,260,845,260,934 with Prime Factorization
2 | 717, 260, 845, 260, 934 |
2 | 717, 130, 845, 130, 467 |
5 | 717, 65, 845, 65, 467 |
13 | 717, 13, 169, 13, 467 |
717, 1, 1, 13, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 717 x 1 x 1 x 13 x 467 = 1131755820
Therefore, the lowest common multiple of 717,260,845,260,934 is 1131755820.
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.
717 x 260 x 845 x 260 x 934 = 38253346716000
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.
717 : 1, 3, 239, 717
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
845 : 1, 5, 13, 65, 169, 845
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,260,845,260,934, is 1.
Now, the common factors can be found like this.
717:3x 239
260:2x 2x 5x 13
845:5x 13x 13
260:2x 2x 5x 13
934:2x 467
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 5x 5x 13x 13 = 33800
Therefore, the value for common factors is 33800.
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 = 38253346716000/(1x33800)
LCM = 38253346716000/33800
LCM = 1131755820
Thus, we can understand that the LCM of 717,260,845,260,934 is 1131755820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 260, 845, 260, 934?
Answer: LCM of 717, 260, 845, 260, 934 is 1131755820.
2. How to calculate the LCM of 717, 260, 845, 260, 934?
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 717, 260, 845, 260, 934.
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}.