Find the LCM of 586, 214, 650, 764, 828 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, 214, 650, 764, 828. So, keep reading to learn more.
Given numbers are 586,214,650,764,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,214,650,764,828 is 1611381833100.
Find LCM of 586,214,650,764,828 with Prime Factorization
2 | 586, 214, 650, 764, 828 |
2 | 293, 107, 325, 382, 414 |
293, 107, 325, 191, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 293 x 107 x 325 x 191 x 207 = 1611381833100
Therefore, the lowest common multiple of 586,214,650,764,828 is 1611381833100.
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 214 x 650 x 764 x 828 = 51564218659200
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
214 : 1, 2, 107, 214
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
764 : 1, 2, 4, 191, 382, 764
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,214,650,764,828, is 2.
Now, the common factors can be found like this.
586:2x 293
214:2x 107
650:2x 5x 5x 13
764:2x 2x 191
828:2x 2x 3x 3x 23
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 2 = 16
Therefore, the value for common factors is 16.
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 = 51564218659200/(2x16)
LCM = 51564218659200/32
LCM = 1611381833100
Thus, we can understand that the LCM of 586,214,650,764,828 is 1611381833100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 214, 650, 764, 828?
Answer: LCM of 586, 214, 650, 764, 828 is 1611381833100.
2. How to calculate the LCM of 586, 214, 650, 764, 828?
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, 214, 650, 764, 828.
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}.