LCM of 889, 794, 622, 981, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 794, 622, 981, 392 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 889, 794, 622, 981, 392. So, keep reading to learn more.
Given numbers are 889,794,622,981,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,794,622,981,392 is 6029894186568.
Find LCM of 889,794,622,981,392 with Prime Factorization
| 2 | 889, 794, 622, 981, 392 |
| 7 | 889, 397, 311, 981, 196 |
| 127, 397, 311, 981, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 127 x 397 x 311 x 981 x 28 = 6029894186568
Therefore, the lowest common multiple of 889,794,622,981,392 is 6029894186568.
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.
889 x 794 x 622 x 981 x 392 = 168837037223904
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.
889 : 1, 7, 127, 889
794 : 1, 2, 397, 794
622 : 1, 2, 311, 622
981 : 1, 3, 9, 109, 327, 981
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,794,622,981,392, is 1.
Now, the common factors can be found like this.
889:7x 127
794:2x 397
622:2x 311
981:3x 3x 109
392:2x 2x 2x 7x 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 7 = 28
Therefore, the value for common factors is 28.
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 = 168837037223904/(1x28)
LCM = 168837037223904/28
LCM = 6029894186568
Thus, we can understand that the LCM of 889,794,622,981,392 is 6029894186568.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 794, 622, 981, 392
1. What is the LCM of 889, 794, 622, 981, 392?
Answer: LCM of 889, 794, 622, 981, 392 is 6029894186568.
2. How to calculate the LCM of 889, 794, 622, 981, 392?
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 889, 794, 622, 981, 392.
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}.