LCM of 561, 884, 260, 681, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 884, 260, 681, 685 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, 884, 260, 681, 685. So, keep reading to learn more.
Given numbers are 561,884,260,681,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,884,260,681,685 is 4536100140.
Find LCM of 561,884,260,681,685 with Prime Factorization
| 2 | 561, 884, 260, 681, 685 |
| 2 | 561, 442, 130, 681, 685 |
| 3 | 561, 221, 65, 681, 685 |
| 5 | 187, 221, 65, 227, 685 |
| 13 | 187, 221, 13, 227, 137 |
| 17 | 187, 17, 1, 227, 137 |
| 11, 1, 1, 227, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 17 x 11 x 1 x 1 x 227 x 137 = 4536100140
Therefore, the lowest common multiple of 561,884,260,681,685 is 4536100140.
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 884 x 260 x 681 x 685 = 60148687856400
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
681 : 1, 3, 227, 681
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,884,260,681,685, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
884:2x 2x 13x 17
260:2x 2x 5x 13
681:3x 227
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 13x 17 = 13260
Therefore, the value for common factors is 13260.
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 = 60148687856400/(1x13260)
LCM = 60148687856400/13260
LCM = 4536100140
Thus, we can understand that the LCM of 561,884,260,681,685 is 4536100140.
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FAQs on LCM of 561, 884, 260, 681, 685
1. What is the LCM of 561, 884, 260, 681, 685?
Answer: LCM of 561, 884, 260, 681, 685 is 4536100140.
2. How to calculate the LCM of 561, 884, 260, 681, 685?
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, 884, 260, 681, 685.
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}.