Find the LCM of 197, 556, 562, 317 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 197, 556, 562, 317. So, keep reading to learn more.
Given numbers are 197,556,562,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,556,562,317 is 9756781964.
Find LCM of 197,556,562,317 with Prime Factorization
2 | 197, 556, 562, 317 |
197, 278, 281, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 197 x 278 x 281 x 317 = 9756781964
Therefore, the lowest common multiple of 197,556,562,317 is 9756781964.
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.
197 x 556 x 562 x 317 = 19513563928
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.
197 : 1, 197
556 : 1, 2, 4, 139, 278, 556
562 : 1, 2, 281, 562
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,556,562,317, is 1.
Now, the common factors can be found like this.
197:197
556:2x 2x 139
562:2x 281
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 19513563928/(1x2)
LCM = 19513563928/2
LCM = 9756781964
Thus, we can understand that the LCM of 197,556,562,317 is 9756781964.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 197, 556, 562, 317?
Answer: LCM of 197, 556, 562, 317 is 9756781964.
2. How to calculate the LCM of 197, 556, 562, 317?
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 197, 556, 562, 317.
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}.