Find the LCM of 253, 644, 317, 561 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 253, 644, 317, 561. So, keep reading to learn more.
Given numbers are 253,644,317,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,644,317,561 is 114527028.
Find LCM of 253,644,317,561 with Prime Factorization
11 | 253, 644, 317, 561 |
23 | 23, 644, 317, 51 |
1, 28, 317, 51 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 1 x 28 x 317 x 51 = 114527028
Therefore, the lowest common multiple of 253,644,317,561 is 114527028.
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.
253 x 644 x 317 x 561 = 28975338084
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.
253 : 1, 11, 23, 253
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
317 : 1, 317
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,644,317,561, is 1.
Now, the common factors can be found like this.
253:11x 23
644:2x 2x 7x 23
317:317
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 28975338084/(1x253)
LCM = 28975338084/253
LCM = 114527028
Thus, we can understand that the LCM of 253,644,317,561 is 114527028.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 644, 317, 561?
Answer: LCM of 253, 644, 317, 561 is 114527028.
2. How to calculate the LCM of 253, 644, 317, 561?
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 253, 644, 317, 561.
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}.