LCM of 640, 715, 260, 288, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 715, 260, 288, 591 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 640, 715, 260, 288, 591. So, keep reading to learn more.
Given numbers are 640,715,260,288,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,715,260,288,591 is 162264960.
Find LCM of 640,715,260,288,591 with Prime Factorization
| 2 | 640, 715, 260, 288, 591 |
| 2 | 320, 715, 130, 144, 591 |
| 2 | 160, 715, 65, 72, 591 |
| 2 | 80, 715, 65, 36, 591 |
| 2 | 40, 715, 65, 18, 591 |
| 3 | 20, 715, 65, 9, 591 |
| 5 | 20, 715, 65, 3, 197 |
| 13 | 4, 143, 13, 3, 197 |
| 4, 11, 1, 3, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 4 x 11 x 1 x 3 x 197 = 162264960
Therefore, the lowest common multiple of 640,715,260,288,591 is 162264960.
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.
640 x 715 x 260 x 288 x 591 = 20250667008000
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
715 : 1, 5, 11, 13, 55, 65, 143, 715
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,715,260,288,591, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
715:5x 11x 13
260:2x 2x 5x 13
288:2x 2x 2x 2x 2x 3x 3
591:3x 197
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 2x 2x 3x 5x 5x 13 = 124800
Therefore, the value for common factors is 124800.
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 = 20250667008000/(1x124800)
LCM = 20250667008000/124800
LCM = 162264960
Thus, we can understand that the LCM of 640,715,260,288,591 is 162264960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 640, 715, 260, 288, 591
1. What is the LCM of 640, 715, 260, 288, 591?
Answer: LCM of 640, 715, 260, 288, 591 is 162264960.
2. How to calculate the LCM of 640, 715, 260, 288, 591?
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 640, 715, 260, 288, 591.
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}.