Find the LCM of 704, 187, 200, 537, 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 704, 187, 200, 537, 625. So, keep reading to learn more.
Given numbers are 704,187,200,537,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,187,200,537,625 is 4016760000.
Find LCM of 704,187,200,537,625 with Prime Factorization
2 | 704, 187, 200, 537, 625 |
2 | 352, 187, 100, 537, 625 |
2 | 176, 187, 50, 537, 625 |
5 | 88, 187, 25, 537, 625 |
5 | 88, 187, 5, 537, 125 |
11 | 88, 187, 1, 537, 25 |
8, 17, 1, 537, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 11 x 8 x 17 x 1 x 537 x 25 = 4016760000
Therefore, the lowest common multiple of 704,187,200,537,625 is 4016760000.
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.
704 x 187 x 200 x 537 x 625 = 8836872000000
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
187 : 1, 11, 17, 187
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
537 : 1, 3, 179, 537
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 704,187,200,537,625, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
187:11x 17
200:2x 2x 2x 5x 5
537:3x 179
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.
2x 2x 2x 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 8836872000000/(1x2200)
LCM = 8836872000000/2200
LCM = 4016760000
Thus, we can understand that the LCM of 704,187,200,537,625 is 4016760000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 187, 200, 537, 625?
Answer: LCM of 704, 187, 200, 537, 625 is 4016760000.
2. How to calculate the LCM of 704, 187, 200, 537, 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 704, 187, 200, 537, 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}.