Find the LCM of 317, 341, 745, 429 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 317, 341, 745, 429. So, keep reading to learn more.
Given numbers are 317,341,745,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,341,745,429 is 3140758335.
Find LCM of 317,341,745,429 with Prime Factorization
11 | 317, 341, 745, 429 |
317, 31, 745, 39 |
Multiply the prime numbers at the bottom and the left side.
11 x 317 x 31 x 745 x 39 = 3140758335
Therefore, the lowest common multiple of 317,341,745,429 is 3140758335.
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.
317 x 341 x 745 x 429 = 34548341685
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.
317 : 1, 317
341 : 1, 11, 31, 341
745 : 1, 5, 149, 745
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,341,745,429, is 1.
Now, the common factors can be found like this.
317:317
341:11x 31
745:5x 149
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 34548341685/(1x11)
LCM = 34548341685/11
LCM = 3140758335
Thus, we can understand that the LCM of 317,341,745,429 is 3140758335.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 341, 745, 429?
Answer: LCM of 317, 341, 745, 429 is 3140758335.
2. How to calculate the LCM of 317, 341, 745, 429?
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 317, 341, 745, 429.
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}.