Find the LCM of 585, 400, 600, 678, 916 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 585, 400, 600, 678, 916. So, keep reading to learn more.
Given numbers are 585,400,600,678,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,400,600,678,916 is 1211043600.
Find LCM of 585,400,600,678,916 with Prime Factorization
2 | 585, 400, 600, 678, 916 |
2 | 585, 200, 300, 339, 458 |
2 | 585, 100, 150, 339, 229 |
3 | 585, 50, 75, 339, 229 |
5 | 195, 50, 25, 113, 229 |
5 | 39, 10, 5, 113, 229 |
39, 2, 1, 113, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 39 x 2 x 1 x 113 x 229 = 1211043600
Therefore, the lowest common multiple of 585,400,600,678,916 is 1211043600.
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.
585 x 400 x 600 x 678 x 916 = 87195139200000
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,400,600,678,916, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
400:2x 2x 2x 2x 5x 5
600:2x 2x 2x 3x 5x 5
678:2x 3x 113
916:2x 2x 229
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 3x 3x 5x 5x 5 = 72000
Therefore, the value for common factors is 72000.
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 = 87195139200000/(1x72000)
LCM = 87195139200000/72000
LCM = 1211043600
Thus, we can understand that the LCM of 585,400,600,678,916 is 1211043600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 400, 600, 678, 916?
Answer: LCM of 585, 400, 600, 678, 916 is 1211043600.
2. How to calculate the LCM of 585, 400, 600, 678, 916?
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 585, 400, 600, 678, 916.
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}.