LCM of 583, 308, 969, 280, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 308, 969, 280, 861 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 583, 308, 969, 280, 861. So, keep reading to learn more.
Given numbers are 583,308,969,280,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,308,969,280,861 is 6485361960.
Find LCM of 583,308,969,280,861 with Prime Factorization
| 2 | 583, 308, 969, 280, 861 |
| 2 | 583, 154, 969, 140, 861 |
| 3 | 583, 77, 969, 70, 861 |
| 7 | 583, 77, 323, 70, 287 |
| 11 | 583, 11, 323, 10, 41 |
| 53, 1, 323, 10, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 53 x 1 x 323 x 10 x 41 = 6485361960
Therefore, the lowest common multiple of 583,308,969,280,861 is 6485361960.
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.
583 x 308 x 969 x 280 x 861 = 41947321157280
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.
583 : 1, 11, 53, 583
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
969 : 1, 3, 17, 19, 51, 57, 323, 969
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,308,969,280,861, is 1.
Now, the common factors can be found like this.
583:11x 53
308:2x 2x 7x 11
969:3x 17x 19
280:2x 2x 2x 5x 7
861:3x 7x 41
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 7x 7x 11 = 6468
Therefore, the value for common factors is 6468.
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 = 41947321157280/(1x6468)
LCM = 41947321157280/6468
LCM = 6485361960
Thus, we can understand that the LCM of 583,308,969,280,861 is 6485361960.
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FAQs on LCM of 583, 308, 969, 280, 861
1. What is the LCM of 583, 308, 969, 280, 861?
Answer: LCM of 583, 308, 969, 280, 861 is 6485361960.
2. How to calculate the LCM of 583, 308, 969, 280, 861?
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 583, 308, 969, 280, 861.
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}.