Find the LCM of 958, 682, 698, 813, 864 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 958, 682, 698, 813, 864. So, keep reading to learn more.
Given numbers are 958,682,698,813,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,682,698,813,864 is 13347451538784.
Find LCM of 958,682,698,813,864 with Prime Factorization
2 | 958, 682, 698, 813, 864 |
3 | 479, 341, 349, 813, 432 |
479, 341, 349, 271, 144 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 479 x 341 x 349 x 271 x 144 = 13347451538784
Therefore, the lowest common multiple of 958,682,698,813,864 is 13347451538784.
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.
958 x 682 x 698 x 813 x 864 = 320338836930816
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.
958 : 1, 2, 479, 958
682 : 1, 2, 11, 22, 31, 62, 341, 682
698 : 1, 2, 349, 698
813 : 1, 3, 271, 813
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,682,698,813,864, is 1.
Now, the common factors can be found like this.
958:2x 479
682:2x 11x 31
698:2x 349
813:3x 271
864:2x 2x 2x 2x 2x 3x 3x 3
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 3 = 24
Therefore, the value for common factors is 24.
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 = 320338836930816/(1x24)
LCM = 320338836930816/24
LCM = 13347451538784
Thus, we can understand that the LCM of 958,682,698,813,864 is 13347451538784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 958, 682, 698, 813, 864?
Answer: LCM of 958, 682, 698, 813, 864 is 13347451538784.
2. How to calculate the LCM of 958, 682, 698, 813, 864?
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 958, 682, 698, 813, 864.
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}.