LCM of 231, 876, 584, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 876, 584, 386 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 231, 876, 584, 386. So, keep reading to learn more.
Given numbers are 231,876,584,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,876,584,386 is 26036472.
Find LCM of 231,876,584,386 with Prime Factorization
| 2 | 231, 876, 584, 386 |
| 2 | 231, 438, 292, 193 |
| 3 | 231, 219, 146, 193 |
| 73 | 77, 73, 146, 193 |
| 77, 1, 2, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 77 x 1 x 2 x 193 = 26036472
Therefore, the lowest common multiple of 231,876,584,386 is 26036472.
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.
231 x 876 x 584 x 386 = 45615898944
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
584 : 1, 2, 4, 8, 73, 146, 292, 584
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,876,584,386, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
876:2x 2x 3x 73
584:2x 2x 2x 73
386:2x 193
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 2x 3x 73 = 1752
Therefore, the value for common factors is 1752.
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 = 45615898944/(1x1752)
LCM = 45615898944/1752
LCM = 26036472
Thus, we can understand that the LCM of 231,876,584,386 is 26036472.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 231, 876, 584, 386
1. What is the LCM of 231, 876, 584, 386?
Answer: LCM of 231, 876, 584, 386 is 26036472.
2. How to calculate the LCM of 231, 876, 584, 386?
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 231, 876, 584, 386.
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}.