LCM of 206, 998, 309, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 998, 309, 289 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 206, 998, 309, 289. So, keep reading to learn more.
Given numbers are 206,998,309,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,998,309,289 is 89122398.
Find LCM of 206,998,309,289 with Prime Factorization
| 2 | 206, 998, 309, 289 |
| 103 | 103, 499, 309, 289 |
| 1, 499, 3, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 1 x 499 x 3 x 289 = 89122398
Therefore, the lowest common multiple of 206,998,309,289 is 89122398.
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.
206 x 998 x 309 x 289 = 18359213988
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.
206 : 1, 2, 103, 206
998 : 1, 2, 499, 998
309 : 1, 3, 103, 309
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,998,309,289, is 1.
Now, the common factors can be found like this.
206:2x 103
998:2x 499
309:3x 103
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103 = 206
Therefore, the value for common factors is 206.
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 = 18359213988/(1x206)
LCM = 18359213988/206
LCM = 89122398
Thus, we can understand that the LCM of 206,998,309,289 is 89122398.
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FAQs on LCM of 206, 998, 309, 289
1. What is the LCM of 206, 998, 309, 289?
Answer: LCM of 206, 998, 309, 289 is 89122398.
2. How to calculate the LCM of 206, 998, 309, 289?
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 206, 998, 309, 289.
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}.