Find the LCM of 876, 531, 867, 215 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 876, 531, 867, 215. So, keep reading to learn more.
Given numbers are 876,531,867,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,531,867,215 is 9634156020.
Find LCM of 876,531,867,215 with Prime Factorization
3 | 876, 531, 867, 215 |
292, 177, 289, 215 |
Multiply the prime numbers at the bottom and the left side.
3 x 292 x 177 x 289 x 215 = 9634156020
Therefore, the lowest common multiple of 876,531,867,215 is 9634156020.
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.
876 x 531 x 867 x 215 = 86707404180
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
531 : 1, 3, 9, 59, 177, 531
867 : 1, 3, 17, 51, 289, 867
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,531,867,215, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
531:3x 3x 59
867:3x 17x 17
215:5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 86707404180/(1x9)
LCM = 86707404180/9
LCM = 9634156020
Thus, we can understand that the LCM of 876,531,867,215 is 9634156020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 876, 531, 867, 215?
Answer: LCM of 876, 531, 867, 215 is 9634156020.
2. How to calculate the LCM of 876, 531, 867, 215?
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 876, 531, 867, 215.
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}.