LCM of 839, 468, 889, 574, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 468, 889, 574, 394 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 839, 468, 889, 574, 394. So, keep reading to learn more.
Given numbers are 839,468,889,574,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,468,889,574,394 is 2819419231356.
Find LCM of 839,468,889,574,394 with Prime Factorization
| 2 | 839, 468, 889, 574, 394 |
| 7 | 839, 234, 889, 287, 197 |
| 839, 234, 127, 41, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 839 x 234 x 127 x 41 x 197 = 2819419231356
Therefore, the lowest common multiple of 839,468,889,574,394 is 2819419231356.
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.
839 x 468 x 889 x 574 x 394 = 78943738477968
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.
839 : 1, 839
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
889 : 1, 7, 127, 889
574 : 1, 2, 7, 14, 41, 82, 287, 574
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,468,889,574,394, is 1.
Now, the common factors can be found like this.
839:839
468:2x 2x 3x 3x 13
889:7x 127
574:2x 7x 41
394:2x 197
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 7 = 28
Therefore, the value for common factors is 28.
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 = 78943738477968/(1x28)
LCM = 78943738477968/28
LCM = 2819419231356
Thus, we can understand that the LCM of 839,468,889,574,394 is 2819419231356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 839, 468, 889, 574, 394
1. What is the LCM of 839, 468, 889, 574, 394?
Answer: LCM of 839, 468, 889, 574, 394 is 2819419231356.
2. How to calculate the LCM of 839, 468, 889, 574, 394?
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 839, 468, 889, 574, 394.
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}.