Find the LCM of 323, 625, 806, 810, 811 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 323, 625, 806, 810, 811. So, keep reading to learn more.
Given numbers are 323,625,806,810,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,625,806,810,811 is 10688664723750.
Find LCM of 323,625,806,810,811 with Prime Factorization
2 | 323, 625, 806, 810, 811 |
5 | 323, 625, 403, 405, 811 |
323, 125, 403, 81, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 323 x 125 x 403 x 81 x 811 = 10688664723750
Therefore, the lowest common multiple of 323,625,806,810,811 is 10688664723750.
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.
323 x 625 x 806 x 810 x 811 = 106886647237500
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.
323 : 1, 17, 19, 323
625 : 1, 5, 25, 125, 625
806 : 1, 2, 13, 26, 31, 62, 403, 806
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,625,806,810,811, is 1.
Now, the common factors can be found like this.
323:17x 19
625:5x 5x 5x 5
806:2x 13x 31
810:2x 3x 3x 3x 3x 5
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 106886647237500/(1x10)
LCM = 106886647237500/10
LCM = 10688664723750
Thus, we can understand that the LCM of 323,625,806,810,811 is 10688664723750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 323, 625, 806, 810, 811?
Answer: LCM of 323, 625, 806, 810, 811 is 10688664723750.
2. How to calculate the LCM of 323, 625, 806, 810, 811?
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 323, 625, 806, 810, 811.
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}.