Find the LCM of 615, 416, 384, 779, 834 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 615, 416, 384, 779, 834. So, keep reading to learn more.
Given numbers are 615,416,384,779,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,416,384,779,834 is 2702693760.
Find LCM of 615,416,384,779,834 with Prime Factorization
2 | 615, 416, 384, 779, 834 |
2 | 615, 208, 192, 779, 417 |
2 | 615, 104, 96, 779, 417 |
2 | 615, 52, 48, 779, 417 |
2 | 615, 26, 24, 779, 417 |
3 | 615, 13, 12, 779, 417 |
41 | 205, 13, 4, 779, 139 |
5, 13, 4, 19, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 41 x 5 x 13 x 4 x 19 x 139 = 2702693760
Therefore, the lowest common multiple of 615,416,384,779,834 is 2702693760.
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.
615 x 416 x 384 x 779 x 834 = 63826815836160
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
779 : 1, 19, 41, 779
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,416,384,779,834, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
416:2x 2x 2x 2x 2x 13
384:2x 2x 2x 2x 2x 2x 2x 3
779:19x 41
834:2x 3x 139
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 2x 2x 2x 3x 3x 41 = 23616
Therefore, the value for common factors is 23616.
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 = 63826815836160/(1x23616)
LCM = 63826815836160/23616
LCM = 2702693760
Thus, we can understand that the LCM of 615,416,384,779,834 is 2702693760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 615, 416, 384, 779, 834?
Answer: LCM of 615, 416, 384, 779, 834 is 2702693760.
2. How to calculate the LCM of 615, 416, 384, 779, 834?
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 615, 416, 384, 779, 834.
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}.