Find the LCM of 910, 894, 988, 504, 586 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 910, 894, 988, 504, 586. So, keep reading to learn more.
Given numbers are 910,894,988,504,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,894,988,504,586 is 27173863080.
Find LCM of 910,894,988,504,586 with Prime Factorization
2 | 910, 894, 988, 504, 586 |
2 | 455, 447, 494, 252, 293 |
3 | 455, 447, 247, 126, 293 |
7 | 455, 149, 247, 42, 293 |
13 | 65, 149, 247, 6, 293 |
5, 149, 19, 6, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 5 x 149 x 19 x 6 x 293 = 27173863080
Therefore, the lowest common multiple of 910,894,988,504,586 is 27173863080.
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.
910 x 894 x 988 x 504 x 586 = 237390867866880
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
894 : 1, 2, 3, 6, 149, 298, 447, 894
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
586 : 1, 2, 293, 586
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,894,988,504,586, is 2.
Now, the common factors can be found like this.
910:2x 5x 7x 13
894:2x 3x 149
988:2x 2x 13x 19
504:2x 2x 2x 3x 3x 7
586:2x 293
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 3x 7x 13 = 4368
Therefore, the value for common factors is 4368.
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 = 237390867866880/(2x4368)
LCM = 237390867866880/8736
LCM = 27173863080
Thus, we can understand that the LCM of 910,894,988,504,586 is 27173863080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 894, 988, 504, 586?
Answer: LCM of 910, 894, 988, 504, 586 is 27173863080.
2. How to calculate the LCM of 910, 894, 988, 504, 586?
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 910, 894, 988, 504, 586.
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}.