Find the LCM of 308, 184, 875, 891, 682 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 308, 184, 875, 891, 682. So, keep reading to learn more.
Given numbers are 308,184,875,891,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,184,875,891,682 is 4446981000.
Find LCM of 308,184,875,891,682 with Prime Factorization
2 | 308, 184, 875, 891, 682 |
2 | 154, 92, 875, 891, 341 |
7 | 77, 46, 875, 891, 341 |
11 | 11, 46, 125, 891, 341 |
1, 46, 125, 81, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 1 x 46 x 125 x 81 x 31 = 4446981000
Therefore, the lowest common multiple of 308,184,875,891,682 is 4446981000.
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.
308 x 184 x 875 x 891 x 682 = 30132743256000
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
184 : 1, 2, 4, 8, 23, 46, 92, 184
875 : 1, 5, 7, 25, 35, 125, 175, 875
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,184,875,891,682, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
184:2x 2x 2x 23
875:5x 5x 5x 7
891:3x 3x 3x 3x 11
682:2x 11x 31
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 7x 11x 11 = 6776
Therefore, the value for common factors is 6776.
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 = 30132743256000/(1x6776)
LCM = 30132743256000/6776
LCM = 4446981000
Thus, we can understand that the LCM of 308,184,875,891,682 is 4446981000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 184, 875, 891, 682?
Answer: LCM of 308, 184, 875, 891, 682 is 4446981000.
2. How to calculate the LCM of 308, 184, 875, 891, 682?
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 308, 184, 875, 891, 682.
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}.