LCM of 927, 214, 489, 589, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 214, 489, 589, 779 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 927, 214, 489, 589, 779. So, keep reading to learn more.
Given numbers are 927,214,489,589,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,214,489,589,779 is 780872742486.
Find LCM of 927,214,489,589,779 with Prime Factorization
| 3 | 927, 214, 489, 589, 779 |
| 19 | 309, 214, 163, 589, 779 |
| 309, 214, 163, 31, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 309 x 214 x 163 x 31 x 41 = 780872742486
Therefore, the lowest common multiple of 927,214,489,589,779 is 780872742486.
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.
927 x 214 x 489 x 589 x 779 = 44509746321702
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.
927 : 1, 3, 9, 103, 309, 927
214 : 1, 2, 107, 214
489 : 1, 3, 163, 489
589 : 1, 19, 31, 589
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,214,489,589,779, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
214:2x 107
489:3x 163
589:19x 31
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 44509746321702/(1x57)
LCM = 44509746321702/57
LCM = 780872742486
Thus, we can understand that the LCM of 927,214,489,589,779 is 780872742486.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 927, 214, 489, 589, 779
1. What is the LCM of 927, 214, 489, 589, 779?
Answer: LCM of 927, 214, 489, 589, 779 is 780872742486.
2. How to calculate the LCM of 927, 214, 489, 589, 779?
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 927, 214, 489, 589, 779.
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}.