Find the LCM of 808, 796, 585, 449, 681 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 808, 796, 585, 449, 681. So, keep reading to learn more.
Given numbers are 808,796,585,449,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,796,585,449,681 is 9587215764360.
Find LCM of 808,796,585,449,681 with Prime Factorization
2 | 808, 796, 585, 449, 681 |
2 | 404, 398, 585, 449, 681 |
3 | 202, 199, 585, 449, 681 |
202, 199, 195, 449, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 202 x 199 x 195 x 449 x 227 = 9587215764360
Therefore, the lowest common multiple of 808,796,585,449,681 is 9587215764360.
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.
808 x 796 x 585 x 449 x 681 = 115046589172320
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
796 : 1, 2, 4, 199, 398, 796
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
449 : 1, 449
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,796,585,449,681, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
796:2x 2x 199
585:3x 3x 5x 13
449:449
681:3x 227
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 3 = 12
Therefore, the value for common factors is 12.
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 = 115046589172320/(1x12)
LCM = 115046589172320/12
LCM = 9587215764360
Thus, we can understand that the LCM of 808,796,585,449,681 is 9587215764360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 796, 585, 449, 681?
Answer: LCM of 808, 796, 585, 449, 681 is 9587215764360.
2. How to calculate the LCM of 808, 796, 585, 449, 681?
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 808, 796, 585, 449, 681.
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}.