Find the LCM of 686, 102, 425, 655, 392 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, 102, 425, 655, 392. So, keep reading to learn more.
Given numbers are 686,102,425,655,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,102,425,655,392 is 458316600.
Find LCM of 686,102,425,655,392 with Prime Factorization
2 | 686, 102, 425, 655, 392 |
5 | 343, 51, 425, 655, 196 |
7 | 343, 51, 85, 131, 196 |
7 | 49, 51, 85, 131, 28 |
17 | 7, 51, 85, 131, 4 |
7, 3, 5, 131, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 17 x 7 x 3 x 5 x 131 x 4 = 458316600
Therefore, the lowest common multiple of 686,102,425,655,392 is 458316600.
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 102 x 425 x 655 x 392 = 7635554556000
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
102 : 1, 2, 3, 6, 17, 34, 51, 102
425 : 1, 5, 17, 25, 85, 425
655 : 1, 5, 131, 655
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,102,425,655,392, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
102:2x 3x 17
425:5x 5x 17
655:5x 131
392:2x 2x 2x 7x 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 5x 7x 7x 17 = 16660
Therefore, the value for common factors is 16660.
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 = 7635554556000/(1x16660)
LCM = 7635554556000/16660
LCM = 458316600
Thus, we can understand that the LCM of 686,102,425,655,392 is 458316600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 686, 102, 425, 655, 392?
Answer: LCM of 686, 102, 425, 655, 392 is 458316600.
2. How to calculate the LCM of 686, 102, 425, 655, 392?
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, 102, 425, 655, 392.
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}.