Find the LCM of 317, 151, 585, 367, 884 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, 151, 585, 367, 884. So, keep reading to learn more.
Given numbers are 317,151,585,367,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,151,585,367,884 is 698822778420.
Find LCM of 317,151,585,367,884 with Prime Factorization
13 | 317, 151, 585, 367, 884 |
317, 151, 45, 367, 68 |
Multiply the prime numbers at the bottom and the left side.
13 x 317 x 151 x 45 x 367 x 68 = 698822778420
Therefore, the lowest common multiple of 317,151,585,367,884 is 698822778420.
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 151 x 585 x 367 x 884 = 9084696119460
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
151 : 1, 151
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
367 : 1, 367
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,151,585,367,884, is 1.
Now, the common factors can be found like this.
317:317
151:151
585:3x 3x 5x 13
367:367
884:2x 2x 13x 17
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 = 9084696119460/(1x13)
LCM = 9084696119460/13
LCM = 698822778420
Thus, we can understand that the LCM of 317,151,585,367,884 is 698822778420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 151, 585, 367, 884?
Answer: LCM of 317, 151, 585, 367, 884 is 698822778420.
2. How to calculate the LCM of 317, 151, 585, 367, 884?
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, 151, 585, 367, 884.
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}.