LCM of 844, 323, 213, 422, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 323, 213, 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 844, 323, 213, 422, 779. So, keep reading to learn more.
Given numbers are 844,323,213,422,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,323,213,422,779 is 2380720596.
Find LCM of 844,323,213,422,779 with Prime Factorization
| 2 | 844, 323, 213, 422, 779 |
| 19 | 422, 323, 213, 211, 779 |
| 211 | 422, 17, 213, 211, 41 |
| 2, 17, 213, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 211 x 2 x 17 x 213 x 1 x 41 = 2380720596
Therefore, the lowest common multiple of 844,323,213,422,779 is 2380720596.
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.
844 x 323 x 213 x 422 x 779 = 19088617738728
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.
844 : 1, 2, 4, 211, 422, 844
323 : 1, 17, 19, 323
213 : 1, 3, 71, 213
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 844,323,213,422,779, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
323:17x 19
213:3x 71
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 19x 211 = 8018
Therefore, the value for common factors is 8018.
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 = 19088617738728/(1x8018)
LCM = 19088617738728/8018
LCM = 2380720596
Thus, we can understand that the LCM of 844,323,213,422,779 is 2380720596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 323, 213, 422, 779
1. What is the LCM of 844, 323, 213, 422, 779?
Answer: LCM of 844, 323, 213, 422, 779 is 2380720596.
2. How to calculate the LCM of 844, 323, 213, 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 844, 323, 213, 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}.