LCM of 508, 586, 856, 810, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 586, 856, 810, 586 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 508, 586, 856, 810, 586. So, keep reading to learn more.
Given numbers are 508,586,856,810,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,586,856,810,586 is 12900309480.
Find LCM of 508,586,856,810,586 with Prime Factorization
| 2 | 508, 586, 856, 810, 586 |
| 2 | 254, 293, 428, 405, 293 |
| 293 | 127, 293, 214, 405, 293 |
| 127, 1, 214, 405, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 293 x 127 x 1 x 214 x 405 x 1 = 12900309480
Therefore, the lowest common multiple of 508,586,856,810,586 is 12900309480.
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.
508 x 586 x 856 x 810 x 586 = 120953301684480
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.
508 : 1, 2, 4, 127, 254, 508
586 : 1, 2, 293, 586
856 : 1, 2, 4, 8, 107, 214, 428, 856
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
586 : 1, 2, 293, 586
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,586,856,810,586, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
586:2x 293
856:2x 2x 2x 107
810:2x 3x 3x 3x 3x 5
586:2x 293
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 2x 2x 293 = 4688
Therefore, the value for common factors is 4688.
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 = 120953301684480/(2x4688)
LCM = 120953301684480/9376
LCM = 12900309480
Thus, we can understand that the LCM of 508,586,856,810,586 is 12900309480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 586, 856, 810, 586
1. What is the LCM of 508, 586, 856, 810, 586?
Answer: LCM of 508, 586, 856, 810, 586 is 12900309480.
2. How to calculate the LCM of 508, 586, 856, 810, 586?
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 508, 586, 856, 810, 586.
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}.