LCM of 561, 615, 308, 838, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 615, 308, 838, 896 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 561, 615, 308, 838, 896. So, keep reading to learn more.
Given numbers are 561,615,308,838,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,615,308,838,896 is 43175637120.
Find LCM of 561,615,308,838,896 with Prime Factorization
| 2 | 561, 615, 308, 838, 896 |
| 2 | 561, 615, 154, 419, 448 |
| 3 | 561, 615, 77, 419, 224 |
| 7 | 187, 205, 77, 419, 224 |
| 11 | 187, 205, 11, 419, 32 |
| 17, 205, 1, 419, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 17 x 205 x 1 x 419 x 32 = 43175637120
Therefore, the lowest common multiple of 561,615,308,838,896 is 43175637120.
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.
561 x 615 x 308 x 838 x 896 = 79788577397760
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
615 : 1, 3, 5, 15, 41, 123, 205, 615
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
838 : 1, 2, 419, 838
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,615,308,838,896, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
615:3x 5x 41
308:2x 2x 7x 11
838:2x 419
896:2x 2x 2x 2x 2x 2x 2x 7
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 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 79788577397760/(1x1848)
LCM = 79788577397760/1848
LCM = 43175637120
Thus, we can understand that the LCM of 561,615,308,838,896 is 43175637120.
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FAQs on LCM of 561, 615, 308, 838, 896
1. What is the LCM of 561, 615, 308, 838, 896?
Answer: LCM of 561, 615, 308, 838, 896 is 43175637120.
2. How to calculate the LCM of 561, 615, 308, 838, 896?
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 561, 615, 308, 838, 896.
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}.