Find the LCM of 931, 245, 411, 896, 455 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 931, 245, 411, 896, 455. So, keep reading to learn more.
Given numbers are 931,245,411,896,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,245,411,896,455 is 3183573120.
Find LCM of 931,245,411,896,455 with Prime Factorization
5 | 931, 245, 411, 896, 455 |
7 | 931, 49, 411, 896, 91 |
7 | 133, 7, 411, 128, 13 |
19, 1, 411, 128, 13 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 7 x 19 x 1 x 411 x 128 x 13 = 3183573120
Therefore, the lowest common multiple of 931,245,411,896,455 is 3183573120.
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.
931 x 245 x 411 x 896 x 455 = 38218795305600
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.
931 : 1, 7, 19, 49, 133, 931
245 : 1, 5, 7, 35, 49, 245
411 : 1, 3, 137, 411
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,245,411,896,455, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
245:5x 7x 7
411:3x 137
896:2x 2x 2x 2x 2x 2x 2x 7
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7x 7x 7 = 12005
Therefore, the value for common factors is 12005.
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 = 38218795305600/(1x12005)
LCM = 38218795305600/12005
LCM = 3183573120
Thus, we can understand that the LCM of 931,245,411,896,455 is 3183573120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 245, 411, 896, 455?
Answer: LCM of 931, 245, 411, 896, 455 is 3183573120.
2. How to calculate the LCM of 931, 245, 411, 896, 455?
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 931, 245, 411, 896, 455.
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}.