LCM of 517, 308, 308, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 308, 308, 584 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 517, 308, 308, 584. So, keep reading to learn more.
Given numbers are 517,308,308,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,308,308,584 is 2113496.
Find LCM of 517,308,308,584 with Prime Factorization
| 2 | 517, 308, 308, 584 |
| 2 | 517, 154, 154, 292 |
| 7 | 517, 77, 77, 146 |
| 11 | 517, 11, 11, 146 |
| 47, 1, 1, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 47 x 1 x 1 x 146 = 2113496
Therefore, the lowest common multiple of 517,308,308,584 is 2113496.
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.
517 x 308 x 308 x 584 = 28642097792
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.
517 : 1, 11, 47, 517
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,308,308,584, is 1.
Now, the common factors can be found like this.
517:11x 47
308:2x 2x 7x 11
308:2x 2x 7x 11
584:2x 2x 2x 73
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 7x 11x 11 = 13552
Therefore, the value for common factors is 13552.
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 = 28642097792/(1x13552)
LCM = 28642097792/13552
LCM = 2113496
Thus, we can understand that the LCM of 517,308,308,584 is 2113496.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 308, 308, 584
1. What is the LCM of 517, 308, 308, 584?
Answer: LCM of 517, 308, 308, 584 is 2113496.
2. How to calculate the LCM of 517, 308, 308, 584?
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 517, 308, 308, 584.
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}.