Find the LCM of 565, 766, 416, 856, 517 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 565, 766, 416, 856, 517. So, keep reading to learn more.
Given numbers are 565,766,416,856,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,766,416,856,517 is 4979834082080.
Find LCM of 565,766,416,856,517 with Prime Factorization
2 | 565, 766, 416, 856, 517 |
2 | 565, 383, 208, 428, 517 |
2 | 565, 383, 104, 214, 517 |
565, 383, 52, 107, 517 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 565 x 383 x 52 x 107 x 517 = 4979834082080
Therefore, the lowest common multiple of 565,766,416,856,517 is 4979834082080.
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.
565 x 766 x 416 x 856 x 517 = 79677345313280
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.
565 : 1, 5, 113, 565
766 : 1, 2, 383, 766
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
856 : 1, 2, 4, 8, 107, 214, 428, 856
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,766,416,856,517, is 1.
Now, the common factors can be found like this.
565:5x 113
766:2x 383
416:2x 2x 2x 2x 2x 13
856:2x 2x 2x 107
517:11x 47
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 2 = 16
Therefore, the value for common factors is 16.
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 = 79677345313280/(1x16)
LCM = 79677345313280/16
LCM = 4979834082080
Thus, we can understand that the LCM of 565,766,416,856,517 is 4979834082080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 766, 416, 856, 517?
Answer: LCM of 565, 766, 416, 856, 517 is 4979834082080.
2. How to calculate the LCM of 565, 766, 416, 856, 517?
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 565, 766, 416, 856, 517.
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}.