Find the LCM of 561, 682, 667, 491, 609 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, 682, 667, 491, 609. So, keep reading to learn more.
Given numbers are 561,682,667,491,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,682,667,491,609 is 79737004578.
Find LCM of 561,682,667,491,609 with Prime Factorization
3 | 561, 682, 667, 491, 609 |
11 | 187, 682, 667, 491, 203 |
29 | 17, 62, 667, 491, 203 |
17, 62, 23, 491, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 17 x 62 x 23 x 491 x 7 = 79737004578
Therefore, the lowest common multiple of 561,682,667,491,609 is 79737004578.
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 682 x 667 x 491 x 609 = 76308313381146
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
682 : 1, 2, 11, 22, 31, 62, 341, 682
667 : 1, 23, 29, 667
491 : 1, 491
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,682,667,491,609, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
682:2x 11x 31
667:23x 29
491:491
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 29 = 957
Therefore, the value for common factors is 957.
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 = 76308313381146/(1x957)
LCM = 76308313381146/957
LCM = 79737004578
Thus, we can understand that the LCM of 561,682,667,491,609 is 79737004578.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 682, 667, 491, 609?
Answer: LCM of 561, 682, 667, 491, 609 is 79737004578.
2. How to calculate the LCM of 561, 682, 667, 491, 609?
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, 682, 667, 491, 609.
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}.