Find the LCM of 568, 105, 686, 930, 167 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 568, 105, 686, 930, 167. So, keep reading to learn more.
Given numbers are 568,105,686,930,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,105,686,930,167 is 15129057720.
Find LCM of 568,105,686,930,167 with Prime Factorization
2 | 568, 105, 686, 930, 167 |
3 | 284, 105, 343, 465, 167 |
5 | 284, 35, 343, 155, 167 |
7 | 284, 7, 343, 31, 167 |
284, 1, 49, 31, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 284 x 1 x 49 x 31 x 167 = 15129057720
Therefore, the lowest common multiple of 568,105,686,930,167 is 15129057720.
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.
568 x 105 x 686 x 930 x 167 = 6354204242400
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
105 : 1, 3, 5, 7, 15, 21, 35, 105
686 : 1, 2, 7, 14, 49, 98, 343, 686
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,105,686,930,167, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
105:3x 5x 7
686:2x 7x 7x 7
930:2x 3x 5x 31
167:167
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 6354204242400/(1x420)
LCM = 6354204242400/420
LCM = 15129057720
Thus, we can understand that the LCM of 568,105,686,930,167 is 15129057720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 105, 686, 930, 167?
Answer: LCM of 568, 105, 686, 930, 167 is 15129057720.
2. How to calculate the LCM of 568, 105, 686, 930, 167?
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 568, 105, 686, 930, 167.
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}.