Find the LCM of 586, 686, 689, 938, 204 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 586, 686, 689, 938, 204. So, keep reading to learn more.
Given numbers are 586,686,689,938,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,686,689,938,204 is 946424408748.
Find LCM of 586,686,689,938,204 with Prime Factorization
2 | 586, 686, 689, 938, 204 |
7 | 293, 343, 689, 469, 102 |
293, 49, 689, 67, 102 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 293 x 49 x 689 x 67 x 102 = 946424408748
Therefore, the lowest common multiple of 586,686,689,938,204 is 946424408748.
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.
586 x 686 x 689 x 938 x 204 = 52999766889888
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.
586 : 1, 2, 293, 586
686 : 1, 2, 7, 14, 49, 98, 343, 686
689 : 1, 13, 53, 689
938 : 1, 2, 7, 14, 67, 134, 469, 938
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,686,689,938,204, is 1.
Now, the common factors can be found like this.
586:2x 293
686:2x 7x 7x 7
689:13x 53
938:2x 7x 67
204:2x 2x 3x 17
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 7 = 56
Therefore, the value for common factors is 56.
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 = 52999766889888/(1x56)
LCM = 52999766889888/56
LCM = 946424408748
Thus, we can understand that the LCM of 586,686,689,938,204 is 946424408748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 686, 689, 938, 204?
Answer: LCM of 586, 686, 689, 938, 204 is 946424408748.
2. How to calculate the LCM of 586, 686, 689, 938, 204?
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 586, 686, 689, 938, 204.
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}.