Find the LCM of 208, 928, 975, 986, 361 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 208, 928, 975, 986, 361. So, keep reading to learn more.
Given numbers are 208,928,975,986,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,928,975,986,361 is 5552757600.
Find LCM of 208,928,975,986,361 with Prime Factorization
2 | 208, 928, 975, 986, 361 |
2 | 104, 464, 975, 493, 361 |
2 | 52, 232, 975, 493, 361 |
2 | 26, 116, 975, 493, 361 |
13 | 13, 58, 975, 493, 361 |
29 | 1, 58, 75, 493, 361 |
1, 2, 75, 17, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 29 x 1 x 2 x 75 x 17 x 361 = 5552757600
Therefore, the lowest common multiple of 208,928,975,986,361 is 5552757600.
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.
208 x 928 x 975 x 986 x 361 = 66988467686400
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
986 : 1, 2, 17, 29, 34, 58, 493, 986
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,928,975,986,361, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
928:2x 2x 2x 2x 2x 29
975:3x 5x 5x 13
986:2x 17x 29
361:19x 19
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 13x 29 = 12064
Therefore, the value for common factors is 12064.
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 = 66988467686400/(1x12064)
LCM = 66988467686400/12064
LCM = 5552757600
Thus, we can understand that the LCM of 208,928,975,986,361 is 5552757600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 208, 928, 975, 986, 361?
Answer: LCM of 208, 928, 975, 986, 361 is 5552757600.
2. How to calculate the LCM of 208, 928, 975, 986, 361?
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 208, 928, 975, 986, 361.
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}.