LCM of 344, 412, 585, 309, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 412, 585, 309, 689 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 344, 412, 585, 309, 689. So, keep reading to learn more.
Given numbers are 344,412,585,309,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,412,585,309,689 is 1098569160.
Find LCM of 344,412,585,309,689 with Prime Factorization
| 2 | 344, 412, 585, 309, 689 |
| 2 | 172, 206, 585, 309, 689 |
| 3 | 86, 103, 585, 309, 689 |
| 13 | 86, 103, 195, 103, 689 |
| 103 | 86, 103, 15, 103, 53 |
| 86, 1, 15, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 103 x 86 x 1 x 15 x 1 x 53 = 1098569160
Therefore, the lowest common multiple of 344,412,585,309,689 is 1098569160.
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.
344 x 412 x 585 x 309 x 689 = 17651809262880
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
412 : 1, 2, 4, 103, 206, 412
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
309 : 1, 3, 103, 309
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,412,585,309,689, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
412:2x 2x 103
585:3x 3x 5x 13
309:3x 103
689:13x 53
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 3x 13x 103 = 16068
Therefore, the value for common factors is 16068.
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 = 17651809262880/(1x16068)
LCM = 17651809262880/16068
LCM = 1098569160
Thus, we can understand that the LCM of 344,412,585,309,689 is 1098569160.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 344, 412, 585, 309, 689
1. What is the LCM of 344, 412, 585, 309, 689?
Answer: LCM of 344, 412, 585, 309, 689 is 1098569160.
2. How to calculate the LCM of 344, 412, 585, 309, 689?
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 344, 412, 585, 309, 689.
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}.