Find the LCM of 345, 207, 341, 209, 857 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 345, 207, 341, 209, 857. So, keep reading to learn more.
Given numbers are 345,207,341,209,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,207,341,209,857 is 5746840605.
Find LCM of 345,207,341,209,857 with Prime Factorization
3 | 345, 207, 341, 209, 857 |
11 | 115, 69, 341, 209, 857 |
23 | 115, 69, 31, 19, 857 |
5, 3, 31, 19, 857 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 5 x 3 x 31 x 19 x 857 = 5746840605
Therefore, the lowest common multiple of 345,207,341,209,857 is 5746840605.
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.
345 x 207 x 341 x 209 x 857 = 4361852019195
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
207 : 1, 3, 9, 23, 69, 207
341 : 1, 11, 31, 341
209 : 1, 11, 19, 209
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,207,341,209,857, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
207:3x 3x 23
341:11x 31
209:11x 19
857:857
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 23 = 759
Therefore, the value for common factors is 759.
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 = 4361852019195/(1x759)
LCM = 4361852019195/759
LCM = 5746840605
Thus, we can understand that the LCM of 345,207,341,209,857 is 5746840605.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 345, 207, 341, 209, 857?
Answer: LCM of 345, 207, 341, 209, 857 is 5746840605.
2. How to calculate the LCM of 345, 207, 341, 209, 857?
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 345, 207, 341, 209, 857.
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}.