LCM of 180, 245, 780, 570, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 245, 780, 570, 309 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 180, 245, 780, 570, 309. So, keep reading to learn more.
Given numbers are 180,245,780,570,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,245,780,570,309 is 224389620.
Find LCM of 180,245,780,570,309 with Prime Factorization
| 2 | 180, 245, 780, 570, 309 |
| 2 | 90, 245, 390, 285, 309 |
| 3 | 45, 245, 195, 285, 309 |
| 5 | 15, 245, 65, 95, 103 |
| 3, 49, 13, 19, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 3 x 49 x 13 x 19 x 103 = 224389620
Therefore, the lowest common multiple of 180,245,780,570,309 is 224389620.
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.
180 x 245 x 780 x 570 x 309 = 6058519740000
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
245 : 1, 5, 7, 35, 49, 245
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,245,780,570,309, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
245:5x 7x 7
780:2x 2x 3x 5x 13
570:2x 3x 5x 19
309:3x 103
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 3x 3x 3x 5x 5x 5 = 27000
Therefore, the value for common factors is 27000.
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 = 6058519740000/(1x27000)
LCM = 6058519740000/27000
LCM = 224389620
Thus, we can understand that the LCM of 180,245,780,570,309 is 224389620.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 180, 245, 780, 570, 309
1. What is the LCM of 180, 245, 780, 570, 309?
Answer: LCM of 180, 245, 780, 570, 309 is 224389620.
2. How to calculate the LCM of 180, 245, 780, 570, 309?
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 180, 245, 780, 570, 309.
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}.