Find the LCM of 904, 408, 580, 879, 231 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 904, 408, 580, 879, 231. So, keep reading to learn more.
Given numbers are 904,408,580,879,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,408,580,879,231 is 150822089880.
Find LCM of 904,408,580,879,231 with Prime Factorization
2 | 904, 408, 580, 879, 231 |
2 | 452, 204, 290, 879, 231 |
2 | 226, 102, 145, 879, 231 |
3 | 113, 51, 145, 879, 231 |
113, 17, 145, 293, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 17 x 145 x 293 x 77 = 150822089880
Therefore, the lowest common multiple of 904,408,580,879,231 is 150822089880.
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.
904 x 408 x 580 x 879 x 231 = 43436761885440
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
879 : 1, 3, 293, 879
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,408,580,879,231, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
408:2x 2x 2x 3x 17
580:2x 2x 5x 29
879:3x 293
231:3x 7x 11
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 3 = 288
Therefore, the value for common factors is 288.
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 = 43436761885440/(1x288)
LCM = 43436761885440/288
LCM = 150822089880
Thus, we can understand that the LCM of 904,408,580,879,231 is 150822089880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 408, 580, 879, 231?
Answer: LCM of 904, 408, 580, 879, 231 is 150822089880.
2. How to calculate the LCM of 904, 408, 580, 879, 231?
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 904, 408, 580, 879, 231.
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}.