Find the LCM of 317, 884, 374, 910, 822 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, 884, 374, 910, 822. So, keep reading to learn more.
Given numbers are 317,884,374,910,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,884,374,910,822 is 44341877580.
Find LCM of 317,884,374,910,822 with Prime Factorization
2 | 317, 884, 374, 910, 822 |
13 | 317, 442, 187, 455, 411 |
17 | 317, 34, 187, 35, 411 |
317, 2, 11, 35, 411 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 317 x 2 x 11 x 35 x 411 = 44341877580
Therefore, the lowest common multiple of 317,884,374,910,822 is 44341877580.
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 884 x 374 x 910 x 822 = 78396439561440
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
374 : 1, 2, 11, 17, 22, 34, 187, 374
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,884,374,910,822, is 1.
Now, the common factors can be found like this.
317:317
884:2x 2x 13x 17
374:2x 11x 17
910:2x 5x 7x 13
822:2x 3x 137
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 13x 17 = 1768
Therefore, the value for common factors is 1768.
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 = 78396439561440/(1x1768)
LCM = 78396439561440/1768
LCM = 44341877580
Thus, we can understand that the LCM of 317,884,374,910,822 is 44341877580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 884, 374, 910, 822?
Answer: LCM of 317, 884, 374, 910, 822 is 44341877580.
2. How to calculate the LCM of 317, 884, 374, 910, 822?
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, 884, 374, 910, 822.
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}.