Find the LCM of 115, 627, 416, 462, 917 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 115, 627, 416, 462, 917. So, keep reading to learn more.
Given numbers are 115,627,416,462,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,627,416,462,917 is 27506038560.
Find LCM of 115,627,416,462,917 with Prime Factorization
2 | 115, 627, 416, 462, 917 |
3 | 115, 627, 208, 231, 917 |
7 | 115, 209, 208, 77, 917 |
11 | 115, 209, 208, 11, 131 |
115, 19, 208, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 115 x 19 x 208 x 1 x 131 = 27506038560
Therefore, the lowest common multiple of 115,627,416,462,917 is 27506038560.
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.
115 x 627 x 416 x 462 x 917 = 12707789814720
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.
115 : 1, 5, 23, 115
627 : 1, 3, 11, 19, 33, 57, 209, 627
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,627,416,462,917, is 1.
Now, the common factors can be found like this.
115:5x 23
627:3x 11x 19
416:2x 2x 2x 2x 2x 13
462:2x 3x 7x 11
917:7x 131
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 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 12707789814720/(1x462)
LCM = 12707789814720/462
LCM = 27506038560
Thus, we can understand that the LCM of 115,627,416,462,917 is 27506038560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 115, 627, 416, 462, 917?
Answer: LCM of 115, 627, 416, 462, 917 is 27506038560.
2. How to calculate the LCM of 115, 627, 416, 462, 917?
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 115, 627, 416, 462, 917.
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}.