LCM of 561, 759, 896, 589, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 759, 896, 589, 912 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, 759, 896, 589, 912. So, keep reading to learn more.
Given numbers are 561,759,896,589,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,759,896,589,912 is 6809480832.
Find LCM of 561,759,896,589,912 with Prime Factorization
| 2 | 561, 759, 896, 589, 912 |
| 2 | 561, 759, 448, 589, 456 |
| 2 | 561, 759, 224, 589, 228 |
| 2 | 561, 759, 112, 589, 114 |
| 3 | 561, 759, 56, 589, 57 |
| 11 | 187, 253, 56, 589, 19 |
| 19 | 17, 23, 56, 589, 19 |
| 17, 23, 56, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 19 x 17 x 23 x 56 x 31 x 1 = 6809480832
Therefore, the lowest common multiple of 561,759,896,589,912 is 6809480832.
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 759 x 896 x 589 x 912 = 204938135119872
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
589 : 1, 19, 31, 589
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,759,896,589,912, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
759:3x 11x 23
896:2x 2x 2x 2x 2x 2x 2x 7
589:19x 31
912:2x 2x 2x 2x 3x 19
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 2x 3x 3x 11x 19 = 30096
Therefore, the value for common factors is 30096.
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 = 204938135119872/(1x30096)
LCM = 204938135119872/30096
LCM = 6809480832
Thus, we can understand that the LCM of 561,759,896,589,912 is 6809480832.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 759, 896, 589, 912
1. What is the LCM of 561, 759, 896, 589, 912?
Answer: LCM of 561, 759, 896, 589, 912 is 6809480832.
2. How to calculate the LCM of 561, 759, 896, 589, 912?
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, 759, 896, 589, 912.
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}.