Find the LCM of 586, 274, 856, 360, 600 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, 274, 856, 360, 600. So, keep reading to learn more.
Given numbers are 586,274,856,360,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,274,856,360,600 is 7731156600.
Find LCM of 586,274,856,360,600 with Prime Factorization
2 | 586, 274, 856, 360, 600 |
2 | 293, 137, 428, 180, 300 |
2 | 293, 137, 214, 90, 150 |
3 | 293, 137, 107, 45, 75 |
5 | 293, 137, 107, 15, 25 |
293, 137, 107, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 293 x 137 x 107 x 3 x 5 = 7731156600
Therefore, the lowest common multiple of 586,274,856,360,600 is 7731156600.
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 274 x 856 x 360 x 600 = 29687641344000
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
274 : 1, 2, 137, 274
856 : 1, 2, 4, 8, 107, 214, 428, 856
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,274,856,360,600, is 2.
Now, the common factors can be found like this.
586:2x 293
274:2x 137
856:2x 2x 2x 107
360:2x 2x 2x 3x 3x 5
600:2x 2x 2x 3x 5x 5
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 2x 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 29687641344000/(2x1920)
LCM = 29687641344000/3840
LCM = 7731156600
Thus, we can understand that the LCM of 586,274,856,360,600 is 7731156600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 274, 856, 360, 600?
Answer: LCM of 586, 274, 856, 360, 600 is 7731156600.
2. How to calculate the LCM of 586, 274, 856, 360, 600?
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, 274, 856, 360, 600.
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}.