Find the LCM of 380, 878, 878, 482, 563 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, 878, 878, 482, 563. So, keep reading to learn more.
Given numbers are 380,878,878,482,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,878,878,482,563 is 22634638060.
Find LCM of 380,878,878,482,563 with Prime Factorization
2 | 380, 878, 878, 482, 563 |
439 | 190, 439, 439, 241, 563 |
190, 1, 1, 241, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 190 x 1 x 1 x 241 x 563 = 22634638060
Therefore, the lowest common multiple of 380,878,878,482,563 is 22634638060.
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 878 x 878 x 482 x 563 = 79492848866720
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
878 : 1, 2, 439, 878
878 : 1, 2, 439, 878
482 : 1, 2, 241, 482
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,878,878,482,563, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
878:2x 439
878:2x 439
482:2x 241
563:563
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 439 = 3512
Therefore, the value for common factors is 3512.
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 = 79492848866720/(1x3512)
LCM = 79492848866720/3512
LCM = 22634638060
Thus, we can understand that the LCM of 380,878,878,482,563 is 22634638060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 878, 878, 482, 563?
Answer: LCM of 380, 878, 878, 482, 563 is 22634638060.
2. How to calculate the LCM of 380, 878, 878, 482, 563?
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, 878, 878, 482, 563.
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}.