LCM of 819, 881, 928, 511, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 881, 928, 511, 488 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 819, 881, 928, 511, 488. So, keep reading to learn more.
Given numbers are 819,881,928,511,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,881,928,511,488 is 2981676218976.
Find LCM of 819,881,928,511,488 with Prime Factorization
| 2 | 819, 881, 928, 511, 488 |
| 2 | 819, 881, 464, 511, 244 |
| 2 | 819, 881, 232, 511, 122 |
| 7 | 819, 881, 116, 511, 61 |
| 117, 881, 116, 73, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 117 x 881 x 116 x 73 x 61 = 2981676218976
Therefore, the lowest common multiple of 819,881,928,511,488 is 2981676218976.
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.
819 x 881 x 928 x 511 x 488 = 166973868262656
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
881 : 1, 881
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
511 : 1, 7, 73, 511
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,881,928,511,488, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
881:881
928:2x 2x 2x 2x 2x 29
511:7x 73
488:2x 2x 2x 61
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 7 = 56
Therefore, the value for common factors is 56.
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 = 166973868262656/(1x56)
LCM = 166973868262656/56
LCM = 2981676218976
Thus, we can understand that the LCM of 819,881,928,511,488 is 2981676218976.
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FAQs on LCM of 819, 881, 928, 511, 488
1. What is the LCM of 819, 881, 928, 511, 488?
Answer: LCM of 819, 881, 928, 511, 488 is 2981676218976.
2. How to calculate the LCM of 819, 881, 928, 511, 488?
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 819, 881, 928, 511, 488.
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}.