LCM of 686, 517, 638, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 517, 638, 977 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, 517, 638, 977. So, keep reading to learn more.
Given numbers are 686,517,638,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,517,638,977 is 10048638446.
Find LCM of 686,517,638,977 with Prime Factorization
| 2 | 686, 517, 638, 977 |
| 11 | 343, 517, 319, 977 |
| 343, 47, 29, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 343 x 47 x 29 x 977 = 10048638446
Therefore, the lowest common multiple of 686,517,638,977 is 10048638446.
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 517 x 638 x 977 = 221070045812
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
517 : 1, 11, 47, 517
638 : 1, 2, 11, 22, 29, 58, 319, 638
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,517,638,977, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
517:11x 47
638:2x 11x 29
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 221070045812/(1x22)
LCM = 221070045812/22
LCM = 10048638446
Thus, we can understand that the LCM of 686,517,638,977 is 10048638446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 686, 517, 638, 977
1. What is the LCM of 686, 517, 638, 977?
Answer: LCM of 686, 517, 638, 977 is 10048638446.
2. How to calculate the LCM of 686, 517, 638, 977?
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, 517, 638, 977.
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}.