Find the LCM of 206, 940, 997, 672, 555 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 206, 940, 997, 672, 555. So, keep reading to learn more.
Given numbers are 206,940,997,672,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,940,997,672,555 is 600027620640.
Find LCM of 206,940,997,672,555 with Prime Factorization
2 | 206, 940, 997, 672, 555 |
2 | 103, 470, 997, 336, 555 |
3 | 103, 235, 997, 168, 555 |
5 | 103, 235, 997, 56, 185 |
103, 47, 997, 56, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 47 x 997 x 56 x 37 = 600027620640
Therefore, the lowest common multiple of 206,940,997,672,555 is 600027620640.
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.
206 x 940 x 997 x 672 x 555 = 72003314476800
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.
206 : 1, 2, 103, 206
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
997 : 1, 997
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,940,997,672,555, is 1.
Now, the common factors can be found like this.
206:2x 103
940:2x 2x 5x 47
997:997
672:2x 2x 2x 2x 2x 3x 7
555:3x 5x 37
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 72003314476800/(1x120)
LCM = 72003314476800/120
LCM = 600027620640
Thus, we can understand that the LCM of 206,940,997,672,555 is 600027620640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 206, 940, 997, 672, 555?
Answer: LCM of 206, 940, 997, 672, 555 is 600027620640.
2. How to calculate the LCM of 206, 940, 997, 672, 555?
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 206, 940, 997, 672, 555.
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}.