Find the LCM of 138, 317, 483, 826, 622 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 138, 317, 483, 826, 622. So, keep reading to learn more.
Given numbers are 138,317,483,826,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,317,483,826,622 is 5618867478.
Find LCM of 138,317,483,826,622 with Prime Factorization
2 | 138, 317, 483, 826, 622 |
3 | 69, 317, 483, 413, 311 |
7 | 23, 317, 161, 413, 311 |
23 | 23, 317, 23, 59, 311 |
1, 317, 1, 59, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 1 x 317 x 1 x 59 x 311 = 5618867478
Therefore, the lowest common multiple of 138,317,483,826,622 is 5618867478.
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.
138 x 317 x 483 x 826 x 622 = 10855651967496
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
317 : 1, 317
483 : 1, 3, 7, 21, 23, 69, 161, 483
826 : 1, 2, 7, 14, 59, 118, 413, 826
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,317,483,826,622, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
317:317
483:3x 7x 23
826:2x 7x 59
622:2x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 23 = 1932
Therefore, the value for common factors is 1932.
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 = 10855651967496/(1x1932)
LCM = 10855651967496/1932
LCM = 5618867478
Thus, we can understand that the LCM of 138,317,483,826,622 is 5618867478.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 317, 483, 826, 622?
Answer: LCM of 138, 317, 483, 826, 622 is 5618867478.
2. How to calculate the LCM of 138, 317, 483, 826, 622?
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 138, 317, 483, 826, 622.
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}.