LCM of 480, 586, 580, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 586, 580, 288 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 480, 586, 580, 288. So, keep reading to learn more.
Given numbers are 480,586,580,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,586,580,288 is 12235680.
Find LCM of 480,586,580,288 with Prime Factorization
| 2 | 480, 586, 580, 288 |
| 2 | 240, 293, 290, 144 |
| 2 | 120, 293, 145, 72 |
| 2 | 60, 293, 145, 36 |
| 2 | 30, 293, 145, 18 |
| 3 | 15, 293, 145, 9 |
| 5 | 5, 293, 145, 3 |
| 1, 293, 29, 3 |
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 1 x 293 x 29 x 3 = 12235680
Therefore, the lowest common multiple of 480,586,580,288 is 12235680.
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.
480 x 586 x 580 x 288 = 46985011200
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
586 : 1, 2, 293, 586
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,586,580,288, is 2.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
586:2x 293
580:2x 2x 5x 29
288:2x 2x 2x 2x 2x 3x 3
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 5 = 1920
Therefore, the value for common factors is 1920.
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 = 46985011200/(2x1920)
LCM = 46985011200/3840
LCM = 12235680
Thus, we can understand that the LCM of 480,586,580,288 is 12235680.
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FAQs on LCM of 480, 586, 580, 288
1. What is the LCM of 480, 586, 580, 288?
Answer: LCM of 480, 586, 580, 288 is 12235680.
2. How to calculate the LCM of 480, 586, 580, 288?
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 480, 586, 580, 288.
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}.