Find the LCM of 822, 310, 779, 493, 338 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 822, 310, 779, 493, 338. So, keep reading to learn more.
Given numbers are 822,310,779,493,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,310,779,493,338 is 8269411377630.
Find LCM of 822,310,779,493,338 with Prime Factorization
2 | 822, 310, 779, 493, 338 |
411, 155, 779, 493, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 411 x 155 x 779 x 493 x 169 = 8269411377630
Therefore, the lowest common multiple of 822,310,779,493,338 is 8269411377630.
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.
822 x 310 x 779 x 493 x 338 = 33077645510520
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
310 : 1, 2, 5, 10, 31, 62, 155, 310
779 : 1, 19, 41, 779
493 : 1, 17, 29, 493
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,310,779,493,338, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
310:2x 5x 31
779:19x 41
493:17x 29
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 33077645510520/(1x4)
LCM = 33077645510520/4
LCM = 8269411377630
Thus, we can understand that the LCM of 822,310,779,493,338 is 8269411377630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 310, 779, 493, 338?
Answer: LCM of 822, 310, 779, 493, 338 is 8269411377630.
2. How to calculate the LCM of 822, 310, 779, 493, 338?
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 822, 310, 779, 493, 338.
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}.