LCM of 339, 958, 771, 404, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 958, 771, 404, 209 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 339, 958, 771, 404, 209. So, keep reading to learn more.
Given numbers are 339,958,771,404,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,958,771,404,209 is 3523676143812.
Find LCM of 339,958,771,404,209 with Prime Factorization
| 2 | 339, 958, 771, 404, 209 |
| 3 | 339, 479, 771, 202, 209 |
| 113, 479, 257, 202, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 479 x 257 x 202 x 209 = 3523676143812
Therefore, the lowest common multiple of 339,958,771,404,209 is 3523676143812.
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.
339 x 958 x 771 x 404 x 209 = 21142056862872
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.
339 : 1, 3, 113, 339
958 : 1, 2, 479, 958
771 : 1, 3, 257, 771
404 : 1, 2, 4, 101, 202, 404
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,958,771,404,209, is 1.
Now, the common factors can be found like this.
339:3x 113
958:2x 479
771:3x 257
404:2x 2x 101
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 21142056862872/(1x6)
LCM = 21142056862872/6
LCM = 3523676143812
Thus, we can understand that the LCM of 339,958,771,404,209 is 3523676143812.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 958, 771, 404, 209
1. What is the LCM of 339, 958, 771, 404, 209?
Answer: LCM of 339, 958, 771, 404, 209 is 3523676143812.
2. How to calculate the LCM of 339, 958, 771, 404, 209?
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 339, 958, 771, 404, 209.
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}.