Find the LCM of 230, 494, 717, 646, 832 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 230, 494, 717, 646, 832. So, keep reading to learn more.
Given numbers are 230,494,717,646,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,494,717,646,832 is 22158626880.
Find LCM of 230,494,717,646,832 with Prime Factorization
2 | 230, 494, 717, 646, 832 |
13 | 115, 247, 717, 323, 416 |
19 | 115, 19, 717, 323, 32 |
115, 1, 717, 17, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 115 x 1 x 717 x 17 x 32 = 22158626880
Therefore, the lowest common multiple of 230,494,717,646,832 is 22158626880.
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.
230 x 494 x 717 x 646 x 832 = 43785446714880
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
494 : 1, 2, 13, 19, 26, 38, 247, 494
717 : 1, 3, 239, 717
646 : 1, 2, 17, 19, 34, 38, 323, 646
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,494,717,646,832, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
494:2x 13x 19
717:3x 239
646:2x 17x 19
832:2x 2x 2x 2x 2x 2x 13
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 43785446714880/(1x1976)
LCM = 43785446714880/1976
LCM = 22158626880
Thus, we can understand that the LCM of 230,494,717,646,832 is 22158626880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 494, 717, 646, 832?
Answer: LCM of 230, 494, 717, 646, 832 is 22158626880.
2. How to calculate the LCM of 230, 494, 717, 646, 832?
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 230, 494, 717, 646, 832.
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}.