LCM of 686, 196, 986, 134, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 196, 986, 134, 622 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, 196, 986, 134, 622. So, keep reading to learn more.
Given numbers are 686,196,986,134,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,196,986,134,622 is 14094063452.
Find LCM of 686,196,986,134,622 with Prime Factorization
| 2 | 686, 196, 986, 134, 622 |
| 7 | 343, 98, 493, 67, 311 |
| 7 | 49, 14, 493, 67, 311 |
| 7, 2, 493, 67, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 7 x 2 x 493 x 67 x 311 = 14094063452
Therefore, the lowest common multiple of 686,196,986,134,622 is 14094063452.
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 196 x 986 x 134 x 622 = 11049745746368
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
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
986 : 1, 2, 17, 29, 34, 58, 493, 986
134 : 1, 2, 67, 134
622 : 1, 2, 311, 622
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,196,986,134,622, is 2.
Now, the common factors can be found like this.
686:2x 7x 7x 7
196:2x 2x 7x 7
986:2x 17x 29
134:2x 67
622:2x 311
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 11049745746368/(2x392)
LCM = 11049745746368/784
LCM = 14094063452
Thus, we can understand that the LCM of 686,196,986,134,622 is 14094063452.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 686, 196, 986, 134, 622
1. What is the LCM of 686, 196, 986, 134, 622?
Answer: LCM of 686, 196, 986, 134, 622 is 14094063452.
2. How to calculate the LCM of 686, 196, 986, 134, 622?
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, 196, 986, 134, 622.
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}.