Find the LCM of 317, 923, 441, 346, 559 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, 923, 441, 346, 559. So, keep reading to learn more.
Given numbers are 317,923,441,346,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,923,441,346,559 is 1919747484018.
Find LCM of 317,923,441,346,559 with Prime Factorization
13 | 317, 923, 441, 346, 559 |
317, 71, 441, 346, 43 |
Multiply the prime numbers at the bottom and the left side.
13 x 317 x 71 x 441 x 346 x 43 = 1919747484018
Therefore, the lowest common multiple of 317,923,441,346,559 is 1919747484018.
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 923 x 441 x 346 x 559 = 24956717292234
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
923 : 1, 13, 71, 923
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
346 : 1, 2, 173, 346
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,923,441,346,559, is 1.
Now, the common factors can be found like this.
317:317
923:13x 71
441:3x 3x 7x 7
346:2x 173
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 24956717292234/(1x13)
LCM = 24956717292234/13
LCM = 1919747484018
Thus, we can understand that the LCM of 317,923,441,346,559 is 1919747484018.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 923, 441, 346, 559?
Answer: LCM of 317, 923, 441, 346, 559 is 1919747484018.
2. How to calculate the LCM of 317, 923, 441, 346, 559?
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, 923, 441, 346, 559.
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}.