Find the LCM of 317, 688, 597, 188, 919 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 317, 688, 597, 188, 919. So, keep reading to learn more.
Given numbers are 317,688,597,188,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,688,597,188,919 is 5623871655216.
Find LCM of 317,688,597,188,919 with Prime Factorization
2 | 317, 688, 597, 188, 919 |
2 | 317, 344, 597, 94, 919 |
317, 172, 597, 47, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 317 x 172 x 597 x 47 x 919 = 5623871655216
Therefore, the lowest common multiple of 317,688,597,188,919 is 5623871655216.
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.
317 x 688 x 597 x 188 x 919 = 22495486620864
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.
317 : 1, 317
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
597 : 1, 3, 199, 597
188 : 1, 2, 4, 47, 94, 188
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,688,597,188,919, is 1.
Now, the common factors can be found like this.
317:317
688:2x 2x 2x 2x 43
597:3x 199
188:2x 2x 47
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 22495486620864/(1x4)
LCM = 22495486620864/4
LCM = 5623871655216
Thus, we can understand that the LCM of 317,688,597,188,919 is 5623871655216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 688, 597, 188, 919?
Answer: LCM of 317, 688, 597, 188, 919 is 5623871655216.
2. How to calculate the LCM of 317, 688, 597, 188, 919?
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 317, 688, 597, 188, 919.
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}.