Find the LCM of 586, 363, 990, 856, 660 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 586, 363, 990, 856, 660. So, keep reading to learn more.
Given numbers are 586,363,990,856,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,363,990,856,660 is 1365649560.
Find LCM of 586,363,990,856,660 with Prime Factorization
2 | 586, 363, 990, 856, 660 |
2 | 293, 363, 495, 428, 330 |
3 | 293, 363, 495, 214, 165 |
5 | 293, 121, 55, 214, 165 |
11 | 293, 121, 11, 214, 33 |
293, 1, 11, 214, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 293 x 1 x 11 x 214 x 3 = 1365649560
Therefore, the lowest common multiple of 586,363,990,856,660 is 1365649560.
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.
586 x 363 x 990 x 856 x 660 = 118975389667200
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.
586 : 1, 2, 293, 586
363 : 1, 3, 11, 33, 121, 363
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
856 : 1, 2, 4, 8, 107, 214, 428, 856
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,363,990,856,660, is 1.
Now, the common factors can be found like this.
586:2x 293
363:3x 11x 11
990:2x 3x 3x 5x 11
856:2x 2x 2x 107
660:2x 2x 3x 5x 11
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 3x 3x 5x 11x 11 = 87120
Therefore, the value for common factors is 87120.
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 = 118975389667200/(1x87120)
LCM = 118975389667200/87120
LCM = 1365649560
Thus, we can understand that the LCM of 586,363,990,856,660 is 1365649560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 363, 990, 856, 660?
Answer: LCM of 586, 363, 990, 856, 660 is 1365649560.
2. How to calculate the LCM of 586, 363, 990, 856, 660?
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 586, 363, 990, 856, 660.
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}.