Find the LCM of 682, 928, 214, 406, 914 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, 928, 214, 406, 914. So, keep reading to learn more.
Given numbers are 682,928,214,406,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,928,214,406,914 is 108317935264.
Find LCM of 682,928,214,406,914 with Prime Factorization
2 | 682, 928, 214, 406, 914 |
29 | 341, 464, 107, 203, 457 |
341, 16, 107, 7, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 341 x 16 x 107 x 7 x 457 = 108317935264
Therefore, the lowest common multiple of 682,928,214,406,914 is 108317935264.
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 928 x 214 x 406 x 914 = 50259521962496
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
214 : 1, 2, 107, 214
406 : 1, 2, 7, 14, 29, 58, 203, 406
914 : 1, 2, 457, 914
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,928,214,406,914, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
928:2x 2x 2x 2x 2x 29
214:2x 107
406:2x 7x 29
914:2x 457
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 29 = 232
Therefore, the value for common factors is 232.
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 = 50259521962496/(2x232)
LCM = 50259521962496/464
LCM = 108317935264
Thus, we can understand that the LCM of 682,928,214,406,914 is 108317935264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 928, 214, 406, 914?
Answer: LCM of 682, 928, 214, 406, 914 is 108317935264.
2. How to calculate the LCM of 682, 928, 214, 406, 914?
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, 928, 214, 406, 914.
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}.