LCM of 309, 906, 289, 120, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 906, 289, 120, 585 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 309, 906, 289, 120, 585. So, keep reading to learn more.
Given numbers are 309,906,289,120,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,906,289,120,585 is 21035743560.
Find LCM of 309,906,289,120,585 with Prime Factorization
| 2 | 309, 906, 289, 120, 585 |
| 3 | 309, 453, 289, 60, 585 |
| 5 | 103, 151, 289, 20, 195 |
| 103, 151, 289, 4, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 103 x 151 x 289 x 4 x 39 = 21035743560
Therefore, the lowest common multiple of 309,906,289,120,585 is 21035743560.
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.
309 x 906 x 289 x 120 x 585 = 5679650761200
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.
309 : 1, 3, 103, 309
906 : 1, 2, 3, 6, 151, 302, 453, 906
289 : 1, 17, 289
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,906,289,120,585, is 1.
Now, the common factors can be found like this.
309:3x 103
906:2x 3x 151
289:17x 17
120:2x 2x 2x 3x 5
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 5679650761200/(1x270)
LCM = 5679650761200/270
LCM = 21035743560
Thus, we can understand that the LCM of 309,906,289,120,585 is 21035743560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 309, 906, 289, 120, 585
1. What is the LCM of 309, 906, 289, 120, 585?
Answer: LCM of 309, 906, 289, 120, 585 is 21035743560.
2. How to calculate the LCM of 309, 906, 289, 120, 585?
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 309, 906, 289, 120, 585.
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}.