Find the LCM of 343, 836, 990, 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 343, 836, 990, 779. So, keep reading to learn more.
Given numbers are 343,836,990,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,836,990,779 is 529050060.
Find LCM of 343,836,990,779 with Prime Factorization
2 | 343, 836, 990, 779 |
11 | 343, 418, 495, 779 |
19 | 343, 38, 45, 779 |
343, 2, 45, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 343 x 2 x 45 x 41 = 529050060
Therefore, the lowest common multiple of 343,836,990,779 is 529050060.
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.
343 x 836 x 990 x 779 = 221142925080
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.
343 : 1, 7, 49, 343
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,836,990,779, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
836:2x 2x 11x 19
990:2x 3x 3x 5x 11
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 11x 19 = 418
Therefore, the value for common factors is 418.
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 = 221142925080/(1x418)
LCM = 221142925080/418
LCM = 529050060
Thus, we can understand that the LCM of 343,836,990,779 is 529050060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 836, 990, 779?
Answer: LCM of 343, 836, 990, 779 is 529050060.
2. How to calculate the LCM of 343, 836, 990, 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 343, 836, 990, 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}.