LCM of 586, 519, 586, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 519, 586, 678 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, 519, 586, 678. So, keep reading to learn more.
Given numbers are 586,519,586,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,519,586,678 is 34367142.
Find LCM of 586,519,586,678 with Prime Factorization
| 2 | 586, 519, 586, 678 |
| 3 | 293, 519, 293, 339 |
| 293 | 293, 173, 293, 113 |
| 1, 173, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 1 x 173 x 1 x 113 = 34367142
Therefore, the lowest common multiple of 586,519,586,678 is 34367142.
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 519 x 586 x 678 = 120834871272
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
519 : 1, 3, 173, 519
586 : 1, 2, 293, 586
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,519,586,678, is 1.
Now, the common factors can be found like this.
586:2x 293
519:3x 173
586:2x 293
678:2x 3x 113
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 293 = 3516
Therefore, the value for common factors is 3516.
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 = 120834871272/(1x3516)
LCM = 120834871272/3516
LCM = 34367142
Thus, we can understand that the LCM of 586,519,586,678 is 34367142.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 519, 586, 678
1. What is the LCM of 586, 519, 586, 678?
Answer: LCM of 586, 519, 586, 678 is 34367142.
2. How to calculate the LCM of 586, 519, 586, 678?
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, 519, 586, 678.
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}.