Find the LCM of 579, 832, 312, 214, 590 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 579, 832, 312, 214, 590. So, keep reading to learn more.
Given numbers are 579,832,312,214,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,832,312,214,590 is 15205744320.
Find LCM of 579,832,312,214,590 with Prime Factorization
2 | 579, 832, 312, 214, 590 |
2 | 579, 416, 156, 107, 295 |
2 | 579, 208, 78, 107, 295 |
3 | 579, 104, 39, 107, 295 |
13 | 193, 104, 13, 107, 295 |
193, 8, 1, 107, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 193 x 8 x 1 x 107 x 295 = 15205744320
Therefore, the lowest common multiple of 579,832,312,214,590 is 15205744320.
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.
579 x 832 x 312 x 214 x 590 = 18976768911360
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.
579 : 1, 3, 193, 579
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
214 : 1, 2, 107, 214
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,832,312,214,590, is 1.
Now, the common factors can be found like this.
579:3x 193
832:2x 2x 2x 2x 2x 2x 13
312:2x 2x 2x 3x 13
214:2x 107
590:2x 5x 59
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 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 18976768911360/(1x1248)
LCM = 18976768911360/1248
LCM = 15205744320
Thus, we can understand that the LCM of 579,832,312,214,590 is 15205744320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 579, 832, 312, 214, 590?
Answer: LCM of 579, 832, 312, 214, 590 is 15205744320.
2. How to calculate the LCM of 579, 832, 312, 214, 590?
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 579, 832, 312, 214, 590.
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}.