Find the LCM of 664, 689, 897, 759, 583 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 664, 689, 897, 759, 583. So, keep reading to learn more.
Given numbers are 664,689,897,759,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,689,897,759,583 is 347239464.
Find LCM of 664,689,897,759,583 with Prime Factorization
3 | 664, 689, 897, 759, 583 |
11 | 664, 689, 299, 253, 583 |
13 | 664, 689, 299, 23, 53 |
23 | 664, 53, 23, 23, 53 |
53 | 664, 53, 1, 1, 53 |
664, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 23 x 53 x 664 x 1 x 1 x 1 x 1 = 347239464
Therefore, the lowest common multiple of 664,689,897,759,583 is 347239464.
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.
664 x 689 x 897 x 759 x 583 = 181589224938264
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
689 : 1, 13, 53, 689
897 : 1, 3, 13, 23, 39, 69, 299, 897
759 : 1, 3, 11, 23, 33, 69, 253, 759
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,689,897,759,583, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
689:13x 53
897:3x 13x 23
759:3x 11x 23
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 13x 23x 53 = 522951
Therefore, the value for common factors is 522951.
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 = 181589224938264/(1x522951)
LCM = 181589224938264/522951
LCM = 347239464
Thus, we can understand that the LCM of 664,689,897,759,583 is 347239464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 664, 689, 897, 759, 583?
Answer: LCM of 664, 689, 897, 759, 583 is 347239464.
2. How to calculate the LCM of 664, 689, 897, 759, 583?
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 664, 689, 897, 759, 583.
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}.