Find the LCM of 527, 561, 837, 979, 107 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 527, 561, 837, 979, 107. So, keep reading to learn more.
Given numbers are 527,561,837,979,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,561,837,979,107 is 1490530437.
Find LCM of 527,561,837,979,107 with Prime Factorization
3 | 527, 561, 837, 979, 107 |
11 | 527, 187, 279, 979, 107 |
17 | 527, 17, 279, 89, 107 |
31 | 31, 1, 279, 89, 107 |
1, 1, 9, 89, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 31 x 1 x 1 x 9 x 89 x 107 = 1490530437
Therefore, the lowest common multiple of 527,561,837,979,107 is 1490530437.
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.
527 x 561 x 837 x 979 x 107 = 25921814829867
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.
527 : 1, 17, 31, 527
561 : 1, 3, 11, 17, 33, 51, 187, 561
837 : 1, 3, 9, 27, 31, 93, 279, 837
979 : 1, 11, 89, 979
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,561,837,979,107, is 1.
Now, the common factors can be found like this.
527:17x 31
561:3x 11x 17
837:3x 3x 3x 31
979:11x 89
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17x 31 = 17391
Therefore, the value for common factors is 17391.
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 = 25921814829867/(1x17391)
LCM = 25921814829867/17391
LCM = 1490530437
Thus, we can understand that the LCM of 527,561,837,979,107 is 1490530437.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 527, 561, 837, 979, 107?
Answer: LCM of 527, 561, 837, 979, 107 is 1490530437.
2. How to calculate the LCM of 527, 561, 837, 979, 107?
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 527, 561, 837, 979, 107.
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}.