Find the LCM of 568, 339, 454, 952, 343 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 568, 339, 454, 952, 343. So, keep reading to learn more.
Given numbers are 568,339,454,952,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,339,454,952,343 is 254868951624.
Find LCM of 568,339,454,952,343 with Prime Factorization
2 | 568, 339, 454, 952, 343 |
2 | 284, 339, 227, 476, 343 |
2 | 142, 339, 227, 238, 343 |
7 | 71, 339, 227, 119, 343 |
71, 339, 227, 17, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 71 x 339 x 227 x 17 x 49 = 254868951624
Therefore, the lowest common multiple of 568,339,454,952,343 is 254868951624.
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.
568 x 339 x 454 x 952 x 343 = 28545322581888
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
339 : 1, 3, 113, 339
454 : 1, 2, 227, 454
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,339,454,952,343, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
339:3x 113
454:2x 227
952:2x 2x 2x 7x 17
343:7x 7x 7
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 7 = 112
Therefore, the value for common factors is 112.
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 = 28545322581888/(1x112)
LCM = 28545322581888/112
LCM = 254868951624
Thus, we can understand that the LCM of 568,339,454,952,343 is 254868951624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 339, 454, 952, 343?
Answer: LCM of 568, 339, 454, 952, 343 is 254868951624.
2. How to calculate the LCM of 568, 339, 454, 952, 343?
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 568, 339, 454, 952, 343.
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}.