Find the LCM of 317, 913, 927, 418, 692 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, 913, 927, 418, 692. So, keep reading to learn more.
Given numbers are 317,913,927,418,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,913,927,418,692 is 3527519874516.
Find LCM of 317,913,927,418,692 with Prime Factorization
2 | 317, 913, 927, 418, 692 |
11 | 317, 913, 927, 209, 346 |
317, 83, 927, 19, 346 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 317 x 83 x 927 x 19 x 346 = 3527519874516
Therefore, the lowest common multiple of 317,913,927,418,692 is 3527519874516.
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 913 x 927 x 418 x 692 = 77605437239352
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
913 : 1, 11, 83, 913
927 : 1, 3, 9, 103, 309, 927
418 : 1, 2, 11, 19, 22, 38, 209, 418
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,913,927,418,692, is 1.
Now, the common factors can be found like this.
317:317
913:11x 83
927:3x 3x 103
418:2x 11x 19
692:2x 2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 77605437239352/(1x22)
LCM = 77605437239352/22
LCM = 3527519874516
Thus, we can understand that the LCM of 317,913,927,418,692 is 3527519874516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 913, 927, 418, 692?
Answer: LCM of 317, 913, 927, 418, 692 is 3527519874516.
2. How to calculate the LCM of 317, 913, 927, 418, 692?
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, 913, 927, 418, 692.
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}.