Find the LCM of 357, 806, 494, 244, 819 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 357, 806, 494, 244, 819. So, keep reading to learn more.
Given numbers are 357,806,494,244,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,806,494,244,819 is 2000957868.
Find LCM of 357,806,494,244,819 with Prime Factorization
2 | 357, 806, 494, 244, 819 |
3 | 357, 403, 247, 122, 819 |
7 | 119, 403, 247, 122, 273 |
13 | 17, 403, 247, 122, 39 |
17, 31, 19, 122, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 17 x 31 x 19 x 122 x 3 = 2000957868
Therefore, the lowest common multiple of 357,806,494,244,819 is 2000957868.
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.
357 x 806 x 494 x 244 x 819 = 28405597894128
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
806 : 1, 2, 13, 26, 31, 62, 403, 806
494 : 1, 2, 13, 19, 26, 38, 247, 494
244 : 1, 2, 4, 61, 122, 244
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,806,494,244,819, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
806:2x 13x 31
494:2x 13x 19
244:2x 2x 61
819:3x 3x 7x 13
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 13x 13 = 14196
Therefore, the value for common factors is 14196.
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 = 28405597894128/(1x14196)
LCM = 28405597894128/14196
LCM = 2000957868
Thus, we can understand that the LCM of 357,806,494,244,819 is 2000957868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 806, 494, 244, 819?
Answer: LCM of 357, 806, 494, 244, 819 is 2000957868.
2. How to calculate the LCM of 357, 806, 494, 244, 819?
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 357, 806, 494, 244, 819.
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}.