LCM of 682, 297, 880, 899, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 297, 880, 899, 308 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, 297, 880, 899, 308. So, keep reading to learn more.
Given numbers are 682,297,880,899,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,297,880,899,308 is 149521680.
Find LCM of 682,297,880,899,308 with Prime Factorization
| 2 | 682, 297, 880, 899, 308 |
| 2 | 341, 297, 440, 899, 154 |
| 11 | 341, 297, 220, 899, 77 |
| 31 | 31, 27, 20, 899, 7 |
| 1, 27, 20, 29, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 31 x 1 x 27 x 20 x 29 x 7 = 149521680
Therefore, the lowest common multiple of 682,297,880,899,308 is 149521680.
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 297 x 880 x 899 x 308 = 49355312307840
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
297 : 1, 3, 9, 11, 27, 33, 99, 297
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
899 : 1, 29, 31, 899
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,297,880,899,308, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
297:3x 3x 3x 11
880:2x 2x 2x 2x 5x 11
899:29x 31
308:2x 2x 7x 11
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 11x 11x 11x 31 = 330088
Therefore, the value for common factors is 330088.
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 = 49355312307840/(1x330088)
LCM = 49355312307840/330088
LCM = 149521680
Thus, we can understand that the LCM of 682,297,880,899,308 is 149521680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 682, 297, 880, 899, 308
1. What is the LCM of 682, 297, 880, 899, 308?
Answer: LCM of 682, 297, 880, 899, 308 is 149521680.
2. How to calculate the LCM of 682, 297, 880, 899, 308?
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, 297, 880, 899, 308.
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}.