Find the LCM of 682, 336, 988, 170, 410 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, 336, 988, 170, 410. So, keep reading to learn more.
Given numbers are 682,336,988,170,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,336,988,170,410 is 98626447920.
Find LCM of 682,336,988,170,410 with Prime Factorization
2 | 682, 336, 988, 170, 410 |
2 | 341, 168, 494, 85, 205 |
5 | 341, 84, 247, 85, 205 |
341, 84, 247, 17, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 341 x 84 x 247 x 17 x 41 = 98626447920
Therefore, the lowest common multiple of 682,336,988,170,410 is 98626447920.
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 336 x 988 x 170 x 410 = 15780231667200
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
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
170 : 1, 2, 5, 10, 17, 34, 85, 170
410 : 1, 2, 5, 10, 41, 82, 205, 410
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,336,988,170,410, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
336:2x 2x 2x 2x 3x 7
988:2x 2x 13x 19
170:2x 5x 17
410:2x 5x 41
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 5 = 80
Therefore, the value for common factors is 80.
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 = 15780231667200/(2x80)
LCM = 15780231667200/160
LCM = 98626447920
Thus, we can understand that the LCM of 682,336,988,170,410 is 98626447920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 336, 988, 170, 410?
Answer: LCM of 682, 336, 988, 170, 410 is 98626447920.
2. How to calculate the LCM of 682, 336, 988, 170, 410?
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, 336, 988, 170, 410.
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}.