Find the LCM of 816, 364, 934, 676, 920 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 816, 364, 934, 676, 920. So, keep reading to learn more.
Given numbers are 816,364,934,676,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,364,934,676,920 is 51842940240.
Find LCM of 816,364,934,676,920 with Prime Factorization
2 | 816, 364, 934, 676, 920 |
2 | 408, 182, 467, 338, 460 |
2 | 204, 91, 467, 169, 230 |
13 | 102, 91, 467, 169, 115 |
102, 7, 467, 13, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 102 x 7 x 467 x 13 x 115 = 51842940240
Therefore, the lowest common multiple of 816,364,934,676,920 is 51842940240.
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.
816 x 364 x 934 x 676 x 920 = 172533305118720
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
934 : 1, 2, 467, 934
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,364,934,676,920, is 2.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
364:2x 2x 7x 13
934:2x 467
676:2x 2x 13x 13
920:2x 2x 2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 172533305118720/(2x1664)
LCM = 172533305118720/3328
LCM = 51842940240
Thus, we can understand that the LCM of 816,364,934,676,920 is 51842940240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 364, 934, 676, 920?
Answer: LCM of 816, 364, 934, 676, 920 is 51842940240.
2. How to calculate the LCM of 816, 364, 934, 676, 920?
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 816, 364, 934, 676, 920.
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}.