Find the LCM of 106, 867, 879, 813, 210 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 106, 867, 879, 813, 210. So, keep reading to learn more.
Given numbers are 106,867,879,813,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,867,879,813,210 is 255405307710.
Find LCM of 106,867,879,813,210 with Prime Factorization
2 | 106, 867, 879, 813, 210 |
3 | 53, 867, 879, 813, 105 |
53, 289, 293, 271, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 289 x 293 x 271 x 35 = 255405307710
Therefore, the lowest common multiple of 106,867,879,813,210 is 255405307710.
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.
106 x 867 x 879 x 813 x 210 = 13791886616340
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.
106 : 1, 2, 53, 106
867 : 1, 3, 17, 51, 289, 867
879 : 1, 3, 293, 879
813 : 1, 3, 271, 813
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,867,879,813,210, is 1.
Now, the common factors can be found like this.
106:2x 53
867:3x 17x 17
879:3x 293
813:3x 271
210:2x 3x 5x 7
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 = 13791886616340/(1x54)
LCM = 13791886616340/54
LCM = 255405307710
Thus, we can understand that the LCM of 106,867,879,813,210 is 255405307710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 106, 867, 879, 813, 210?
Answer: LCM of 106, 867, 879, 813, 210 is 255405307710.
2. How to calculate the LCM of 106, 867, 879, 813, 210?
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 106, 867, 879, 813, 210.
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}.