Find the LCM of 667, 429, 517, 319 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 667, 429, 517, 319. So, keep reading to learn more.
Given numbers are 667,429,517,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,429,517,319 is 13448721.
Find LCM of 667,429,517,319 with Prime Factorization
11 | 667, 429, 517, 319 |
29 | 667, 39, 47, 29 |
23, 39, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 23 x 39 x 47 x 1 = 13448721
Therefore, the lowest common multiple of 667,429,517,319 is 13448721.
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.
667 x 429 x 517 x 319 = 47191561989
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.
667 : 1, 23, 29, 667
429 : 1, 3, 11, 13, 33, 39, 143, 429
517 : 1, 11, 47, 517
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,429,517,319, is 1.
Now, the common factors can be found like this.
667:23x 29
429:3x 11x 13
517:11x 47
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 29 = 3509
Therefore, the value for common factors is 3509.
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 = 47191561989/(1x3509)
LCM = 47191561989/3509
LCM = 13448721
Thus, we can understand that the LCM of 667,429,517,319 is 13448721.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 667, 429, 517, 319?
Answer: LCM of 667, 429, 517, 319 is 13448721.
2. How to calculate the LCM of 667, 429, 517, 319?
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 667, 429, 517, 319.
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}.