Find the LCM of 478, 864, 254, 793 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 478, 864, 254, 793. So, keep reading to learn more.
Given numbers are 478,864,254,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,864,254,793 is 20796418656.
Find LCM of 478,864,254,793 with Prime Factorization
2 | 478, 864, 254, 793 |
239, 432, 127, 793 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 432 x 127 x 793 = 20796418656
Therefore, the lowest common multiple of 478,864,254,793 is 20796418656.
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.
478 x 864 x 254 x 793 = 83185674624
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.
478 : 1, 2, 239, 478
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
254 : 1, 2, 127, 254
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,864,254,793, is 1.
Now, the common factors can be found like this.
478:2x 239
864:2x 2x 2x 2x 2x 3x 3x 3
254:2x 127
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 83185674624/(1x4)
LCM = 83185674624/4
LCM = 20796418656
Thus, we can understand that the LCM of 478,864,254,793 is 20796418656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 864, 254, 793?
Answer: LCM of 478, 864, 254, 793 is 20796418656.
2. How to calculate the LCM of 478, 864, 254, 793?
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 478, 864, 254, 793.
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}.