Find the LCM of 682, 339, 309, 564, 921 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 682, 339, 309, 564, 921. So, keep reading to learn more.
Given numbers are 682,339,309,564,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,339,309,564,921 is 687206924052.
Find LCM of 682,339,309,564,921 with Prime Factorization
2 | 682, 339, 309, 564, 921 |
3 | 341, 339, 309, 282, 921 |
341, 113, 103, 94, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 341 x 113 x 103 x 94 x 307 = 687206924052
Therefore, the lowest common multiple of 682,339,309,564,921 is 687206924052.
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.
682 x 339 x 309 x 564 x 921 = 37109173898808
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
339 : 1, 3, 113, 339
309 : 1, 3, 103, 309
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,339,309,564,921, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
339:3x 113
309:3x 103
564:2x 2x 3x 47
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 37109173898808/(1x54)
LCM = 37109173898808/54
LCM = 687206924052
Thus, we can understand that the LCM of 682,339,309,564,921 is 687206924052.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 339, 309, 564, 921?
Answer: LCM of 682, 339, 309, 564, 921 is 687206924052.
2. How to calculate the LCM of 682, 339, 309, 564, 921?
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 682, 339, 309, 564, 921.
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}.