LCM of 980, 908, 682, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 908, 682, 910 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 980, 908, 682, 910. So, keep reading to learn more.
Given numbers are 980,908,682,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,908,682,910 is 986165180.
Find LCM of 980,908,682,910 with Prime Factorization
| 2 | 980, 908, 682, 910 |
| 2 | 490, 454, 341, 455 |
| 5 | 245, 227, 341, 455 |
| 7 | 49, 227, 341, 91 |
| 7, 227, 341, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 227 x 341 x 13 = 986165180
Therefore, the lowest common multiple of 980,908,682,910 is 986165180.
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.
980 x 908 x 682 x 910 = 552252500800
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
908 : 1, 2, 4, 227, 454, 908
682 : 1, 2, 11, 22, 31, 62, 341, 682
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,908,682,910, is 2.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
908:2x 2x 227
682:2x 11x 31
910:2x 5x 7x 13
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 552252500800/(2x280)
LCM = 552252500800/560
LCM = 986165180
Thus, we can understand that the LCM of 980,908,682,910 is 986165180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 980, 908, 682, 910
1. What is the LCM of 980, 908, 682, 910?
Answer: LCM of 980, 908, 682, 910 is 986165180.
2. How to calculate the LCM of 980, 908, 682, 910?
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 980, 908, 682, 910.
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}.