Find the LCM of 914, 939, 429, 626, 814 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 914, 939, 429, 626, 814. So, keep reading to learn more.
Given numbers are 914,939,429,626,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,939,429,626,814 is 4540979586.
Find LCM of 914,939,429,626,814 with Prime Factorization
2 | 914, 939, 429, 626, 814 |
3 | 457, 939, 429, 313, 407 |
11 | 457, 313, 143, 313, 407 |
313 | 457, 313, 13, 313, 37 |
457, 1, 13, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 313 x 457 x 1 x 13 x 1 x 37 = 4540979586
Therefore, the lowest common multiple of 914,939,429,626,814 is 4540979586.
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.
914 x 939 x 429 x 626 x 814 = 187615112575176
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.
914 : 1, 2, 457, 914
939 : 1, 3, 313, 939
429 : 1, 3, 11, 13, 33, 39, 143, 429
626 : 1, 2, 313, 626
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,939,429,626,814, is 1.
Now, the common factors can be found like this.
914:2x 457
939:3x 313
429:3x 11x 13
626:2x 313
814:2x 11x 37
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 3x 11x 313 = 41316
Therefore, the value for common factors is 41316.
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 = 187615112575176/(1x41316)
LCM = 187615112575176/41316
LCM = 4540979586
Thus, we can understand that the LCM of 914,939,429,626,814 is 4540979586.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 939, 429, 626, 814?
Answer: LCM of 914, 939, 429, 626, 814 is 4540979586.
2. How to calculate the LCM of 914, 939, 429, 626, 814?
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 914, 939, 429, 626, 814.
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}.