Find the LCM of 682, 928, 934, 988, 946 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, 928, 934, 988, 946. So, keep reading to learn more.
Given numbers are 682,928,934,988,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,928,934,988,946 is 1569584295136.
Find LCM of 682,928,934,988,946 with Prime Factorization
2 | 682, 928, 934, 988, 946 |
2 | 341, 464, 467, 494, 473 |
11 | 341, 232, 467, 247, 473 |
31, 232, 467, 247, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 31 x 232 x 467 x 247 x 43 = 1569584295136
Therefore, the lowest common multiple of 682,928,934,988,946 is 1569584295136.
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 928 x 934 x 988 x 946 = 552493671887872
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
934 : 1, 2, 467, 934
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
946 : 1, 2, 11, 22, 43, 86, 473, 946
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,928,934,988,946, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
928:2x 2x 2x 2x 2x 29
934:2x 467
988:2x 2x 13x 19
946:2x 11x 43
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 11 = 176
Therefore, the value for common factors is 176.
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 = 552493671887872/(2x176)
LCM = 552493671887872/352
LCM = 1569584295136
Thus, we can understand that the LCM of 682,928,934,988,946 is 1569584295136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 928, 934, 988, 946?
Answer: LCM of 682, 928, 934, 988, 946 is 1569584295136.
2. How to calculate the LCM of 682, 928, 934, 988, 946?
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, 928, 934, 988, 946.
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}.