Find the LCM of 517, 427, 323, 704, 394 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 517, 427, 323, 704, 394. So, keep reading to learn more.
Given numbers are 517,427,323,704,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,427,323,704,394 is 899015419456.
Find LCM of 517,427,323,704,394 with Prime Factorization
2 | 517, 427, 323, 704, 394 |
11 | 517, 427, 323, 352, 197 |
47, 427, 323, 32, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 47 x 427 x 323 x 32 x 197 = 899015419456
Therefore, the lowest common multiple of 517,427,323,704,394 is 899015419456.
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.
517 x 427 x 323 x 704 x 394 = 19778339228032
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.
517 : 1, 11, 47, 517
427 : 1, 7, 61, 427
323 : 1, 17, 19, 323
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,427,323,704,394, is 1.
Now, the common factors can be found like this.
517:11x 47
427:7x 61
323:17x 19
704:2x 2x 2x 2x 2x 2x 11
394:2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 19778339228032/(1x22)
LCM = 19778339228032/22
LCM = 899015419456
Thus, we can understand that the LCM of 517,427,323,704,394 is 899015419456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 427, 323, 704, 394?
Answer: LCM of 517, 427, 323, 704, 394 is 899015419456.
2. How to calculate the LCM of 517, 427, 323, 704, 394?
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 517, 427, 323, 704, 394.
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}.