LCM of 206, 352, 418, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 352, 418, 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 206, 352, 418, 309. So, keep reading to learn more.
Given numbers are 206,352,418,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,352,418,309 is 2066592.
Find LCM of 206,352,418,309 with Prime Factorization
| 2 | 206, 352, 418, 309 |
| 11 | 103, 176, 209, 309 |
| 103 | 103, 16, 19, 309 |
| 1, 16, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 103 x 1 x 16 x 19 x 3 = 2066592
Therefore, the lowest common multiple of 206,352,418,309 is 2066592.
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 352 x 418 x 309 = 9365794944
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
418 : 1, 2, 11, 19, 22, 38, 209, 418
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,352,418,309, is 1.
Now, the common factors can be found like this.
206:2x 103
352:2x 2x 2x 2x 2x 11
418:2x 11x 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 11x 103 = 4532
Therefore, the value for common factors is 4532.
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 = 9365794944/(1x4532)
LCM = 9365794944/4532
LCM = 2066592
Thus, we can understand that the LCM of 206,352,418,309 is 2066592.
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FAQs on LCM of 206, 352, 418, 309
1. What is the LCM of 206, 352, 418, 309?
Answer: LCM of 206, 352, 418, 309 is 2066592.
2. How to calculate the LCM of 206, 352, 418, 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 206, 352, 418, 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}.