Find the LCM of 682, 351, 209, 298, 760 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 682, 351, 209, 298, 760. So, keep reading to learn more.
Given numbers are 682,351,209,298,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,351,209,298,760 is 13553808840.
Find LCM of 682,351,209,298,760 with Prime Factorization
2 | 682, 351, 209, 298, 760 |
11 | 341, 351, 209, 149, 380 |
19 | 31, 351, 19, 149, 380 |
31, 351, 1, 149, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 31 x 351 x 1 x 149 x 20 = 13553808840
Therefore, the lowest common multiple of 682,351,209,298,760 is 13553808840.
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.
682 x 351 x 209 x 298 x 760 = 11330984190240
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
351 : 1, 3, 9, 13, 27, 39, 117, 351
209 : 1, 11, 19, 209
298 : 1, 2, 149, 298
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,351,209,298,760, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
351:3x 3x 3x 13
209:11x 19
298:2x 149
760:2x 2x 2x 5x 19
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 11330984190240/(1x836)
LCM = 11330984190240/836
LCM = 13553808840
Thus, we can understand that the LCM of 682,351,209,298,760 is 13553808840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 351, 209, 298, 760?
Answer: LCM of 682, 351, 209, 298, 760 is 13553808840.
2. How to calculate the LCM of 682, 351, 209, 298, 760?
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 682, 351, 209, 298, 760.
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}.