LCM of 682, 814, 306, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 814, 306, 408 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, 814, 306, 408. So, keep reading to learn more.
Given numbers are 682,814,306,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,814,306,408 is 15443208.
Find LCM of 682,814,306,408 with Prime Factorization
| 2 | 682, 814, 306, 408 |
| 3 | 341, 407, 153, 204 |
| 11 | 341, 407, 51, 68 |
| 17 | 31, 37, 51, 68 |
| 31, 37, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 31 x 37 x 3 x 4 = 15443208
Therefore, the lowest common multiple of 682,814,306,408 is 15443208.
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 814 x 306 x 408 = 69309117504
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,814,306,408, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
814:2x 11x 37
306:2x 3x 3x 17
408:2x 2x 2x 3x 17
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 3x 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 69309117504/(2x2244)
LCM = 69309117504/4488
LCM = 15443208
Thus, we can understand that the LCM of 682,814,306,408 is 15443208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 814, 306, 408
1. What is the LCM of 682, 814, 306, 408?
Answer: LCM of 682, 814, 306, 408 is 15443208.
2. How to calculate the LCM of 682, 814, 306, 408?
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, 814, 306, 408.
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}.