Find the LCM of 561, 825, 634, 706, 657 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, 825, 634, 706, 657. So, keep reading to learn more.
Given numbers are 561,825,634,706,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,825,634,706,657 is 687402247950.
Find LCM of 561,825,634,706,657 with Prime Factorization
2 | 561, 825, 634, 706, 657 |
3 | 561, 825, 317, 353, 657 |
11 | 187, 275, 317, 353, 219 |
17, 25, 317, 353, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 25 x 317 x 353 x 219 = 687402247950
Therefore, the lowest common multiple of 561,825,634,706,657 is 687402247950.
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 825 x 634 x 706 x 657 = 136105645094100
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
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
634 : 1, 2, 317, 634
706 : 1, 2, 353, 706
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,825,634,706,657, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
825:3x 5x 5x 11
634:2x 317
706:2x 353
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 136105645094100/(1x198)
LCM = 136105645094100/198
LCM = 687402247950
Thus, we can understand that the LCM of 561,825,634,706,657 is 687402247950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 825, 634, 706, 657?
Answer: LCM of 561, 825, 634, 706, 657 is 687402247950.
2. How to calculate the LCM of 561, 825, 634, 706, 657?
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, 825, 634, 706, 657.
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}.