LCM of 682, 996, 980, 315, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 996, 980, 315, 831 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, 996, 980, 315, 831. So, keep reading to learn more.
Given numbers are 682,996,980,315,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,996,980,315,831 is 69148191420.
Find LCM of 682,996,980,315,831 with Prime Factorization
| 2 | 682, 996, 980, 315, 831 |
| 2 | 341, 498, 490, 315, 831 |
| 3 | 341, 249, 245, 315, 831 |
| 5 | 341, 83, 245, 105, 277 |
| 7 | 341, 83, 49, 21, 277 |
| 341, 83, 7, 3, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 341 x 83 x 7 x 3 x 277 = 69148191420
Therefore, the lowest common multiple of 682,996,980,315,831 is 69148191420.
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 996 x 980 x 315 x 831 = 174253442378400
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
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,996,980,315,831, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
996:2x 2x 3x 83
980:2x 2x 5x 7x 7
315:3x 3x 5x 7
831:3x 277
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 3x 3x 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 174253442378400/(1x2520)
LCM = 174253442378400/2520
LCM = 69148191420
Thus, we can understand that the LCM of 682,996,980,315,831 is 69148191420.
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FAQs on LCM of 682, 996, 980, 315, 831
1. What is the LCM of 682, 996, 980, 315, 831?
Answer: LCM of 682, 996, 980, 315, 831 is 69148191420.
2. How to calculate the LCM of 682, 996, 980, 315, 831?
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, 996, 980, 315, 831.
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}.