Find the LCM of 380, 194, 621, 485, 873 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 380, 194, 621, 485, 873. So, keep reading to learn more.
Given numbers are 380,194,621,485,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,194,621,485,873 is 22890060.
Find LCM of 380,194,621,485,873 with Prime Factorization
2 | 380, 194, 621, 485, 873 |
3 | 190, 97, 621, 485, 873 |
3 | 190, 97, 207, 485, 291 |
5 | 190, 97, 69, 485, 97 |
97 | 38, 97, 69, 97, 97 |
38, 1, 69, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 97 x 38 x 1 x 69 x 1 x 1 = 22890060
Therefore, the lowest common multiple of 380,194,621,485,873 is 22890060.
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.
380 x 194 x 621 x 485 x 873 = 19383531708600
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
194 : 1, 2, 97, 194
621 : 1, 3, 9, 23, 27, 69, 207, 621
485 : 1, 5, 97, 485
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,194,621,485,873, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
194:2x 97
621:3x 3x 3x 23
485:5x 97
873:3x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 97x 97 = 846810
Therefore, the value for common factors is 846810.
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 = 19383531708600/(1x846810)
LCM = 19383531708600/846810
LCM = 22890060
Thus, we can understand that the LCM of 380,194,621,485,873 is 22890060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 194, 621, 485, 873?
Answer: LCM of 380, 194, 621, 485, 873 is 22890060.
2. How to calculate the LCM of 380, 194, 621, 485, 873?
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 380, 194, 621, 485, 873.
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}.