Find the LCM of 113, 798, 794, 826, 574 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 113, 798, 794, 826, 574. So, keep reading to learn more.
Given numbers are 113,798,794,826,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,798,794,826,574 is 86597969682.
Find LCM of 113,798,794,826,574 with Prime Factorization
2 | 113, 798, 794, 826, 574 |
7 | 113, 399, 397, 413, 287 |
113, 57, 397, 59, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 113 x 57 x 397 x 59 x 41 = 86597969682
Therefore, the lowest common multiple of 113,798,794,826,574 is 86597969682.
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.
113 x 798 x 794 x 826 x 574 = 33946404115344
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.
113 : 1, 113
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
794 : 1, 2, 397, 794
826 : 1, 2, 7, 14, 59, 118, 413, 826
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,798,794,826,574, is 1.
Now, the common factors can be found like this.
113:113
798:2x 3x 7x 19
794:2x 397
826:2x 7x 59
574:2x 7x 41
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 2x 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 33946404115344/(1x392)
LCM = 33946404115344/392
LCM = 86597969682
Thus, we can understand that the LCM of 113,798,794,826,574 is 86597969682.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 798, 794, 826, 574?
Answer: LCM of 113, 798, 794, 826, 574 is 86597969682.
2. How to calculate the LCM of 113, 798, 794, 826, 574?
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 113, 798, 794, 826, 574.
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}.