LCM of 580, 214, 144, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 214, 144, 540 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 580, 214, 144, 540. So, keep reading to learn more.
Given numbers are 580,214,144,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,214,144,540 is 6702480.
Find LCM of 580,214,144,540 with Prime Factorization
| 2 | 580, 214, 144, 540 |
| 2 | 290, 107, 72, 270 |
| 3 | 145, 107, 36, 135 |
| 3 | 145, 107, 12, 45 |
| 5 | 145, 107, 4, 15 |
| 29, 107, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 29 x 107 x 4 x 3 = 6702480
Therefore, the lowest common multiple of 580,214,144,540 is 6702480.
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.
580 x 214 x 144 x 540 = 9651571200
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
214 : 1, 2, 107, 214
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,214,144,540, is 2.
Now, the common factors can be found like this.
580:2x 2x 5x 29
214:2x 107
144:2x 2x 2x 2x 3x 3
540:2x 2x 3x 3x 3x 5
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 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 9651571200/(2x720)
LCM = 9651571200/1440
LCM = 6702480
Thus, we can understand that the LCM of 580,214,144,540 is 6702480.
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FAQs on LCM of 580, 214, 144, 540
1. What is the LCM of 580, 214, 144, 540?
Answer: LCM of 580, 214, 144, 540 is 6702480.
2. How to calculate the LCM of 580, 214, 144, 540?
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 580, 214, 144, 540.
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}.