LCM of 879, 379, 814, 561, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 379, 814, 561, 289 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 879, 379, 814, 561, 289. So, keep reading to learn more.
Given numbers are 879,379,814,561,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,379,814,561,289 is 78370087686.
Find LCM of 879,379,814,561,289 with Prime Factorization
| 3 | 879, 379, 814, 561, 289 |
| 11 | 293, 379, 814, 187, 289 |
| 17 | 293, 379, 74, 17, 289 |
| 293, 379, 74, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 293 x 379 x 74 x 1 x 17 = 78370087686
Therefore, the lowest common multiple of 879,379,814,561,289 is 78370087686.
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.
879 x 379 x 814 x 561 x 289 = 43965619191846
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.
879 : 1, 3, 293, 879
379 : 1, 379
814 : 1, 2, 11, 22, 37, 74, 407, 814
561 : 1, 3, 11, 17, 33, 51, 187, 561
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,379,814,561,289, is 1.
Now, the common factors can be found like this.
879:3x 293
379:379
814:2x 11x 37
561:3x 11x 17
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 43965619191846/(1x561)
LCM = 43965619191846/561
LCM = 78370087686
Thus, we can understand that the LCM of 879,379,814,561,289 is 78370087686.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 879, 379, 814, 561, 289
1. What is the LCM of 879, 379, 814, 561, 289?
Answer: LCM of 879, 379, 814, 561, 289 is 78370087686.
2. How to calculate the LCM of 879, 379, 814, 561, 289?
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 879, 379, 814, 561, 289.
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}.