Find the LCM of 771, 514, 212, 929 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 771, 514, 212, 929. So, keep reading to learn more.
Given numbers are 771,514,212,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,514,212,929 is 151846908.
Find LCM of 771,514,212,929 with Prime Factorization
2 | 771, 514, 212, 929 |
257 | 771, 257, 106, 929 |
3, 1, 106, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 257 x 3 x 1 x 106 x 929 = 151846908
Therefore, the lowest common multiple of 771,514,212,929 is 151846908.
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.
771 x 514 x 212 x 929 = 78049310712
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.
771 : 1, 3, 257, 771
514 : 1, 2, 257, 514
212 : 1, 2, 4, 53, 106, 212
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,514,212,929, is 1.
Now, the common factors can be found like this.
771:3x 257
514:2x 257
212:2x 2x 53
929:929
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 257 = 514
Therefore, the value for common factors is 514.
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 = 78049310712/(1x514)
LCM = 78049310712/514
LCM = 151846908
Thus, we can understand that the LCM of 771,514,212,929 is 151846908.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 771, 514, 212, 929?
Answer: LCM of 771, 514, 212, 929 is 151846908.
2. How to calculate the LCM of 771, 514, 212, 929?
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 771, 514, 212, 929.
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}.