Find the LCM of 886, 876, 872, 645, 360 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 886, 876, 872, 645, 360. So, keep reading to learn more.
Given numbers are 886,876,872,645,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,876,872,645,360 is 54566241480.
Find LCM of 886,876,872,645,360 with Prime Factorization
2 | 886, 876, 872, 645, 360 |
2 | 443, 438, 436, 645, 180 |
2 | 443, 219, 218, 645, 90 |
3 | 443, 219, 109, 645, 45 |
5 | 443, 73, 109, 215, 15 |
443, 73, 109, 43, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 443 x 73 x 109 x 43 x 3 = 54566241480
Therefore, the lowest common multiple of 886,876,872,645,360 is 54566241480.
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.
886 x 876 x 872 x 645 x 360 = 157150775462400
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.
886 : 1, 2, 443, 886
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
872 : 1, 2, 4, 8, 109, 218, 436, 872
645 : 1, 3, 5, 15, 43, 129, 215, 645
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,876,872,645,360, is 1.
Now, the common factors can be found like this.
886:2x 443
876:2x 2x 3x 73
872:2x 2x 2x 109
645:3x 5x 43
360:2x 2x 2x 3x 3x 5
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 2x 2x 2x 3x 3x 5 = 2880
Therefore, the value for common factors is 2880.
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 = 157150775462400/(1x2880)
LCM = 157150775462400/2880
LCM = 54566241480
Thus, we can understand that the LCM of 886,876,872,645,360 is 54566241480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 886, 876, 872, 645, 360?
Answer: LCM of 886, 876, 872, 645, 360 is 54566241480.
2. How to calculate the LCM of 886, 876, 872, 645, 360?
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 886, 876, 872, 645, 360.
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}.