Find the LCM of 647, 657, 920, 205, 625 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 647, 657, 920, 205, 625. So, keep reading to learn more.
Given numbers are 647,657,920,205,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,657,920,205,625 is 2004247485000.
Find LCM of 647,657,920,205,625 with Prime Factorization
5 | 647, 657, 920, 205, 625 |
647, 657, 184, 41, 125 |
Multiply the prime numbers at the bottom and the left side.
5 x 647 x 657 x 184 x 41 x 125 = 2004247485000
Therefore, the lowest common multiple of 647,657,920,205,625 is 2004247485000.
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.
647 x 657 x 920 x 205 x 625 = 50106187125000
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.
647 : 1, 647
657 : 1, 3, 9, 73, 219, 657
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
205 : 1, 5, 41, 205
625 : 1, 5, 25, 125, 625
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,657,920,205,625, is 1.
Now, the common factors can be found like this.
647:647
657:3x 3x 73
920:2x 2x 2x 5x 23
205:5x 41
625:5x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 50106187125000/(1x25)
LCM = 50106187125000/25
LCM = 2004247485000
Thus, we can understand that the LCM of 647,657,920,205,625 is 2004247485000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 657, 920, 205, 625?
Answer: LCM of 647, 657, 920, 205, 625 is 2004247485000.
2. How to calculate the LCM of 647, 657, 920, 205, 625?
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 647, 657, 920, 205, 625.
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}.