Find the LCM of 6, 858, 702, 891 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 6, 858, 702, 891. So, keep reading to learn more.
Given numbers are 6,858,702,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6,858,702,891 is 23166.
Find LCM of 6,858,702,891 with Prime Factorization
2 | 6, 858, 702, 891 |
3 | 3, 429, 351, 891 |
3 | 1, 143, 117, 297 |
3 | 1, 143, 39, 99 |
11 | 1, 143, 13, 33 |
13 | 1, 13, 13, 3 |
1, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 13 x 1 x 1 x 1 x 3 = 23166
Therefore, the lowest common multiple of 6,858,702,891 is 23166.
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.
6 x 858 x 702 x 891 = 3219981336
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.
6 : 1, 2, 3, 6
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,858,702,891, is 3.
Now, the common factors can be found like this.
6:2x 3
858:2x 3x 11x 13
702:2x 3x 3x 3x 13
891:3x 3x 3x 3x 11
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 3x 3x 3x 3x 11x 13 = 46332
Therefore, the value for common factors is 46332.
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 = 3219981336/(3x46332)
LCM = 3219981336/138996
LCM = 23166
Thus, we can understand that the LCM of 6,858,702,891 is 23166.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6, 858, 702, 891?
Answer: LCM of 6, 858, 702, 891 is 23166.
2. How to calculate the LCM of 6, 858, 702, 891?
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 6, 858, 702, 891.
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}.