Find the LCM of 861, 920, 139, 952, 207 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 861, 920, 139, 952, 207. So, keep reading to learn more.
Given numbers are 861,920,139,952,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,920,139,952,207 is 5615338680.
Find LCM of 861,920,139,952,207 with Prime Factorization
2 | 861, 920, 139, 952, 207 |
2 | 861, 460, 139, 476, 207 |
2 | 861, 230, 139, 238, 207 |
3 | 861, 115, 139, 119, 207 |
7 | 287, 115, 139, 119, 69 |
23 | 41, 115, 139, 17, 69 |
41, 5, 139, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 23 x 41 x 5 x 139 x 17 x 3 = 5615338680
Therefore, the lowest common multiple of 861,920,139,952,207 is 5615338680.
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.
861 x 920 x 139 x 952 x 207 = 21697668659520
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
139 : 1, 139
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,920,139,952,207, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
920:2x 2x 2x 5x 23
139:139
952:2x 2x 2x 7x 17
207:3x 3x 23
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 3x 7x 23 = 3864
Therefore, the value for common factors is 3864.
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 = 21697668659520/(1x3864)
LCM = 21697668659520/3864
LCM = 5615338680
Thus, we can understand that the LCM of 861,920,139,952,207 is 5615338680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 920, 139, 952, 207?
Answer: LCM of 861, 920, 139, 952, 207 is 5615338680.
2. How to calculate the LCM of 861, 920, 139, 952, 207?
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 861, 920, 139, 952, 207.
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}.