Find the LCM of 803, 561, 187, 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 803, 561, 187, 625. So, keep reading to learn more.
Given numbers are 803,561,187,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,561,187,625 is 25595625.
Find LCM of 803,561,187,625 with Prime Factorization
11 | 803, 561, 187, 625 |
17 | 73, 51, 17, 625 |
73, 3, 1, 625 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 73 x 3 x 1 x 625 = 25595625
Therefore, the lowest common multiple of 803,561,187,625 is 25595625.
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.
803 x 561 x 187 x 625 = 52650200625
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.
803 : 1, 11, 73, 803
561 : 1, 3, 11, 17, 33, 51, 187, 561
187 : 1, 11, 17, 187
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 803,561,187,625, is 1.
Now, the common factors can be found like this.
803:11x 73
561:3x 11x 17
187:11x 17
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.
11x 11x 17 = 2057
Therefore, the value for common factors is 2057.
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 = 52650200625/(1x2057)
LCM = 52650200625/2057
LCM = 25595625
Thus, we can understand that the LCM of 803,561,187,625 is 25595625.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 803, 561, 187, 625?
Answer: LCM of 803, 561, 187, 625 is 25595625.
2. How to calculate the LCM of 803, 561, 187, 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 803, 561, 187, 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}.