LCM of 676, 287, 377, 422, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 287, 377, 422, 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 676, 287, 377, 422, 779. So, keep reading to learn more.
Given numbers are 676,287,377,422,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,287,377,422,779 is 22556029132.
Find LCM of 676,287,377,422,779 with Prime Factorization
| 2 | 676, 287, 377, 422, 779 |
| 13 | 338, 287, 377, 211, 779 |
| 41 | 26, 287, 29, 211, 779 |
| 26, 7, 29, 211, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 41 x 26 x 7 x 29 x 211 x 19 = 22556029132
Therefore, the lowest common multiple of 676,287,377,422,779 is 22556029132.
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.
676 x 287 x 377 x 422 x 779 = 24044727054712
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
287 : 1, 7, 41, 287
377 : 1, 13, 29, 377
422 : 1, 2, 211, 422
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,287,377,422,779, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
287:7x 41
377:13x 29
422:2x 211
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.
2x 13x 41 = 1066
Therefore, the value for common factors is 1066.
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 = 24044727054712/(1x1066)
LCM = 24044727054712/1066
LCM = 22556029132
Thus, we can understand that the LCM of 676,287,377,422,779 is 22556029132.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 676, 287, 377, 422, 779
1. What is the LCM of 676, 287, 377, 422, 779?
Answer: LCM of 676, 287, 377, 422, 779 is 22556029132.
2. How to calculate the LCM of 676, 287, 377, 422, 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 676, 287, 377, 422, 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}.