Find the LCM of 514, 379, 771, 991 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 514, 379, 771, 991. So, keep reading to learn more.
Given numbers are 514,379,771,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,379,771,991 is 579158238.
Find LCM of 514,379,771,991 with Prime Factorization
257 | 514, 379, 771, 991 |
2, 379, 3, 991 |
Multiply the prime numbers at the bottom and the left side.
257 x 2 x 379 x 3 x 991 = 579158238
Therefore, the lowest common multiple of 514,379,771,991 is 579158238.
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.
514 x 379 x 771 x 991 = 148843667166
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.
514 : 1, 2, 257, 514
379 : 1, 379
771 : 1, 3, 257, 771
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,379,771,991, is 1.
Now, the common factors can be found like this.
514:2x 257
379:379
771:3x 257
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
257 = 257
Therefore, the value for common factors is 257.
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 = 148843667166/(1x257)
LCM = 148843667166/257
LCM = 579158238
Thus, we can understand that the LCM of 514,379,771,991 is 579158238.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 379, 771, 991?
Answer: LCM of 514, 379, 771, 991 is 579158238.
2. How to calculate the LCM of 514, 379, 771, 991?
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 514, 379, 771, 991.
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}.