Find the LCM of 810, 906, 664, 452, 810 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 810, 906, 664, 452, 810. So, keep reading to learn more.
Given numbers are 810,906,664,452,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,906,664,452,810 is 4588581960.
Find LCM of 810,906,664,452,810 with Prime Factorization
2 | 810, 906, 664, 452, 810 |
2 | 405, 453, 332, 226, 405 |
3 | 405, 453, 166, 113, 405 |
3 | 135, 151, 166, 113, 135 |
3 | 45, 151, 166, 113, 45 |
3 | 15, 151, 166, 113, 15 |
5 | 5, 151, 166, 113, 5 |
1, 151, 166, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 5 x 1 x 151 x 166 x 113 x 1 = 4588581960
Therefore, the lowest common multiple of 810,906,664,452,810 is 4588581960.
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.
810 x 906 x 664 x 452 x 810 = 178404066604800
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
906 : 1, 2, 3, 6, 151, 302, 453, 906
664 : 1, 2, 4, 8, 83, 166, 332, 664
452 : 1, 2, 4, 113, 226, 452
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,906,664,452,810, is 2.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
906:2x 3x 151
664:2x 2x 2x 83
452:2x 2x 113
810:2x 3x 3x 3x 3x 5
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 3x 3x 3x 3x 3x 5 = 19440
Therefore, the value for common factors is 19440.
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 = 178404066604800/(2x19440)
LCM = 178404066604800/38880
LCM = 4588581960
Thus, we can understand that the LCM of 810,906,664,452,810 is 4588581960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 810, 906, 664, 452, 810?
Answer: LCM of 810, 906, 664, 452, 810 is 4588581960.
2. How to calculate the LCM of 810, 906, 664, 452, 810?
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 810, 906, 664, 452, 810.
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}.