Find the LCM of 561, 687, 585, 799, 318 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 561, 687, 585, 799, 318. So, keep reading to learn more.
Given numbers are 561,687,585,799,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,687,585,799,318 is 124806348810.
Find LCM of 561,687,585,799,318 with Prime Factorization
3 | 561, 687, 585, 799, 318 |
17 | 187, 229, 195, 799, 106 |
11, 229, 195, 47, 106 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 11 x 229 x 195 x 47 x 106 = 124806348810
Therefore, the lowest common multiple of 561,687,585,799,318 is 124806348810.
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.
561 x 687 x 585 x 799 x 318 = 57286114103790
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
687 : 1, 3, 229, 687
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
799 : 1, 17, 47, 799
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,687,585,799,318, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
687:3x 229
585:3x 3x 5x 13
799:17x 47
318:2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 57286114103790/(1x459)
LCM = 57286114103790/459
LCM = 124806348810
Thus, we can understand that the LCM of 561,687,585,799,318 is 124806348810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 687, 585, 799, 318?
Answer: LCM of 561, 687, 585, 799, 318 is 124806348810.
2. How to calculate the LCM of 561, 687, 585, 799, 318?
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 561, 687, 585, 799, 318.
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}.