LCM of 686, 328, 998, 259, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 328, 998, 259, 112 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 686, 328, 998, 259, 112. So, keep reading to learn more.
Given numbers are 686,328,998,259,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,328,998,259,112 is 4154322704.
Find LCM of 686,328,998,259,112 with Prime Factorization
| 2 | 686, 328, 998, 259, 112 |
| 2 | 343, 164, 499, 259, 56 |
| 2 | 343, 82, 499, 259, 28 |
| 7 | 343, 41, 499, 259, 14 |
| 49, 41, 499, 37, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 49 x 41 x 499 x 37 x 2 = 4154322704
Therefore, the lowest common multiple of 686,328,998,259,112 is 4154322704.
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.
686 x 328 x 998 x 259 x 112 = 6513977999872
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
328 : 1, 2, 4, 8, 41, 82, 164, 328
998 : 1, 2, 499, 998
259 : 1, 7, 37, 259
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,328,998,259,112, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
328:2x 2x 2x 41
998:2x 499
259:7x 37
112:2x 2x 2x 2x 7
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 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 6513977999872/(1x1568)
LCM = 6513977999872/1568
LCM = 4154322704
Thus, we can understand that the LCM of 686,328,998,259,112 is 4154322704.
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FAQs on LCM of 686, 328, 998, 259, 112
1. What is the LCM of 686, 328, 998, 259, 112?
Answer: LCM of 686, 328, 998, 259, 112 is 4154322704.
2. How to calculate the LCM of 686, 328, 998, 259, 112?
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 686, 328, 998, 259, 112.
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}.