Find the LCM of 599, 666, 897, 200, 414 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 599, 666, 897, 200, 414. So, keep reading to learn more.
Given numbers are 599,666,897,200,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,666,897,200,414 is 11928126600.
Find LCM of 599,666,897,200,414 with Prime Factorization
2 | 599, 666, 897, 200, 414 |
3 | 599, 333, 897, 100, 207 |
3 | 599, 111, 299, 100, 69 |
23 | 599, 37, 299, 100, 23 |
599, 37, 13, 100, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 599 x 37 x 13 x 100 x 1 = 11928126600
Therefore, the lowest common multiple of 599,666,897,200,414 is 11928126600.
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.
599 x 666 x 897 x 200 x 414 = 29629466474400
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.
599 : 1, 599
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
897 : 1, 3, 13, 23, 39, 69, 299, 897
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,666,897,200,414, is 1.
Now, the common factors can be found like this.
599:599
666:2x 3x 3x 37
897:3x 13x 23
200:2x 2x 2x 5x 5
414:2x 3x 3x 23
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 3x 3x 3x 23 = 2484
Therefore, the value for common factors is 2484.
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 = 29629466474400/(1x2484)
LCM = 29629466474400/2484
LCM = 11928126600
Thus, we can understand that the LCM of 599,666,897,200,414 is 11928126600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 666, 897, 200, 414?
Answer: LCM of 599, 666, 897, 200, 414 is 11928126600.
2. How to calculate the LCM of 599, 666, 897, 200, 414?
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 599, 666, 897, 200, 414.
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}.