Find the LCM of 810, 218, 631, 914, 220 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, 218, 631, 914, 220. So, keep reading to learn more.
Given numbers are 810,218,631,914,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,218,631,914,220 is 560118293460.
Find LCM of 810,218,631,914,220 with Prime Factorization
2 | 810, 218, 631, 914, 220 |
5 | 405, 109, 631, 457, 110 |
81, 109, 631, 457, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 81 x 109 x 631 x 457 x 22 = 560118293460
Therefore, the lowest common multiple of 810,218,631,914,220 is 560118293460.
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 218 x 631 x 914 x 220 = 22404731738400
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
218 : 1, 2, 109, 218
631 : 1, 631
914 : 1, 2, 457, 914
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,218,631,914,220, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
218:2x 109
631:631
914:2x 457
220:2x 2x 5x 11
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 5 = 40
Therefore, the value for common factors is 40.
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 = 22404731738400/(1x40)
LCM = 22404731738400/40
LCM = 560118293460
Thus, we can understand that the LCM of 810,218,631,914,220 is 560118293460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 810, 218, 631, 914, 220?
Answer: LCM of 810, 218, 631, 914, 220 is 560118293460.
2. How to calculate the LCM of 810, 218, 631, 914, 220?
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, 218, 631, 914, 220.
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}.