LCM of 209, 874, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 874, 414 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 209, 874, 414. So, keep reading to learn more.
Given numbers are 209,874,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,874,414 is 86526.
Find LCM of 209,874,414 with Prime Factorization
| 2 | 209, 874, 414 |
| 19 | 209, 437, 207 |
| 23 | 11, 23, 207 |
| 11, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 11 x 1 x 9 = 86526
Therefore, the lowest common multiple of 209,874,414 is 86526.
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.
209 x 874 x 414 = 75623724
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.
209 : 1, 11, 19, 209
874 : 1, 2, 19, 23, 38, 46, 437, 874
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,874,414, is 1.
Now, the common factors can be found like this.
209:11x 19
874:2x 19x 23
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 23 = 874
Therefore, the value for common factors is 874.
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 = 75623724/(1x874)
LCM = 75623724/874
LCM = 86526
Thus, we can understand that the LCM of 209,874,414 is 86526.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 874, 414
1. What is the LCM of 209, 874, 414?
Answer: LCM of 209, 874, 414 is 86526.
2. How to calculate the LCM of 209, 874, 414?
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 209, 874, 414.
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}.