Find the LCM of 278, 393, 511, 131 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 278, 393, 511, 131. So, keep reading to learn more.
Given numbers are 278,393,511,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,393,511,131 is 55828794.
Find LCM of 278,393,511,131 with Prime Factorization
131 | 278, 393, 511, 131 |
278, 3, 511, 1 |
Multiply the prime numbers at the bottom and the left side.
131 x 278 x 3 x 511 x 1 = 55828794
Therefore, the lowest common multiple of 278,393,511,131 is 55828794.
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.
278 x 393 x 511 x 131 = 7313572014
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.
278 : 1, 2, 139, 278
393 : 1, 3, 131, 393
511 : 1, 7, 73, 511
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,393,511,131, is 1.
Now, the common factors can be found like this.
278:2x 139
393:3x 131
511:7x 73
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 7313572014/(1x131)
LCM = 7313572014/131
LCM = 55828794
Thus, we can understand that the LCM of 278,393,511,131 is 55828794.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 393, 511, 131?
Answer: LCM of 278, 393, 511, 131 is 55828794.
2. How to calculate the LCM of 278, 393, 511, 131?
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 278, 393, 511, 131.
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}.