LCM of 809, 771, 896, 294, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 771, 896, 294, 908 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 809, 771, 896, 294, 908. So, keep reading to learn more.
Given numbers are 809,771,896,294,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,771,896,294,908 is 888044658816.
Find LCM of 809,771,896,294,908 with Prime Factorization
| 2 | 809, 771, 896, 294, 908 |
| 2 | 809, 771, 448, 147, 454 |
| 3 | 809, 771, 224, 147, 227 |
| 7 | 809, 257, 224, 49, 227 |
| 809, 257, 32, 7, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 809 x 257 x 32 x 7 x 227 = 888044658816
Therefore, the lowest common multiple of 809,771,896,294,908 is 888044658816.
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.
809 x 771 x 896 x 294 x 908 = 149191502681088
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.
809 : 1, 809
771 : 1, 3, 257, 771
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,771,896,294,908, is 1.
Now, the common factors can be found like this.
809:809
771:3x 257
896:2x 2x 2x 2x 2x 2x 2x 7
294:2x 3x 7x 7
908:2x 2x 227
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 7 = 168
Therefore, the value for common factors is 168.
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 = 149191502681088/(1x168)
LCM = 149191502681088/168
LCM = 888044658816
Thus, we can understand that the LCM of 809,771,896,294,908 is 888044658816.
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FAQs on LCM of 809, 771, 896, 294, 908
1. What is the LCM of 809, 771, 896, 294, 908?
Answer: LCM of 809, 771, 896, 294, 908 is 888044658816.
2. How to calculate the LCM of 809, 771, 896, 294, 908?
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 809, 771, 896, 294, 908.
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}.