LCM of 682, 880, 974, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 880, 974, 880 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, 880, 974, 880. So, keep reading to learn more.
Given numbers are 682,880,974,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,880,974,880 is 13285360.
Find LCM of 682,880,974,880 with Prime Factorization
| 2 | 682, 880, 974, 880 |
| 2 | 341, 440, 487, 440 |
| 2 | 341, 220, 487, 220 |
| 2 | 341, 110, 487, 110 |
| 5 | 341, 55, 487, 55 |
| 11 | 341, 11, 487, 11 |
| 31, 1, 487, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 31 x 1 x 487 x 1 = 13285360
Therefore, the lowest common multiple of 682,880,974,880 is 13285360.
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 880 x 974 x 880 = 514409139200
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
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
974 : 1, 2, 487, 974
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,880,974,880, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
880:2x 2x 2x 2x 5x 11
974:2x 487
880:2x 2x 2x 2x 5x 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 2x 2x 5x 11x 11 = 19360
Therefore, the value for common factors is 19360.
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 = 514409139200/(2x19360)
LCM = 514409139200/38720
LCM = 13285360
Thus, we can understand that the LCM of 682,880,974,880 is 13285360.
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FAQs on LCM of 682, 880, 974, 880
1. What is the LCM of 682, 880, 974, 880?
Answer: LCM of 682, 880, 974, 880 is 13285360.
2. How to calculate the LCM of 682, 880, 974, 880?
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, 880, 974, 880.
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}.