LCM of 279, 560, 589, 810, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 560, 589, 810, 868 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 279, 560, 589, 810, 868. So, keep reading to learn more.
Given numbers are 279,560,589,810,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,560,589,810,868 is 26717040.
Find LCM of 279,560,589,810,868 with Prime Factorization
| 2 | 279, 560, 589, 810, 868 |
| 2 | 279, 280, 589, 405, 434 |
| 3 | 279, 140, 589, 405, 217 |
| 3 | 93, 140, 589, 135, 217 |
| 5 | 31, 140, 589, 45, 217 |
| 7 | 31, 28, 589, 9, 217 |
| 31 | 31, 4, 589, 9, 31 |
| 1, 4, 19, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 31 x 1 x 4 x 19 x 9 x 1 = 26717040
Therefore, the lowest common multiple of 279,560,589,810,868 is 26717040.
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.
279 x 560 x 589 x 810 x 868 = 64701190108800
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.
279 : 1, 3, 9, 31, 93, 279
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
589 : 1, 19, 31, 589
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,560,589,810,868, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
560:2x 2x 2x 2x 5x 7
589:19x 31
810:2x 3x 3x 3x 3x 5
868:2x 2x 7x 31
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 3x 3x 5x 7x 31x 31 = 2421720
Therefore, the value for common factors is 2421720.
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 = 64701190108800/(1x2421720)
LCM = 64701190108800/2421720
LCM = 26717040
Thus, we can understand that the LCM of 279,560,589,810,868 is 26717040.
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FAQs on LCM of 279, 560, 589, 810, 868
1. What is the LCM of 279, 560, 589, 810, 868?
Answer: LCM of 279, 560, 589, 810, 868 is 26717040.
2. How to calculate the LCM of 279, 560, 589, 810, 868?
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 279, 560, 589, 810, 868.
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}.