LCM of 819, 831, 548, 489, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 831, 548, 489, 378 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, 831, 548, 489, 378. So, keep reading to learn more.
Given numbers are 819,831,548,489,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,831,548,489,378 is 60792931836.
Find LCM of 819,831,548,489,378 with Prime Factorization
| 2 | 819, 831, 548, 489, 378 |
| 3 | 819, 831, 274, 489, 189 |
| 3 | 273, 277, 274, 163, 63 |
| 7 | 91, 277, 274, 163, 21 |
| 13, 277, 274, 163, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 277 x 274 x 163 x 3 = 60792931836
Therefore, the lowest common multiple of 819,831,548,489,378 is 60792931836.
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 831 x 548 x 489 x 378 = 68939184702024
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
831 : 1, 3, 277, 831
548 : 1, 2, 4, 137, 274, 548
489 : 1, 3, 163, 489
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,831,548,489,378, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
831:3x 277
548:2x 2x 137
489:3x 163
378:2x 3x 3x 3x 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 3x 3x 3x 3x 7 = 1134
Therefore, the value for common factors is 1134.
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 = 68939184702024/(1x1134)
LCM = 68939184702024/1134
LCM = 60792931836
Thus, we can understand that the LCM of 819,831,548,489,378 is 60792931836.
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FAQs on LCM of 819, 831, 548, 489, 378
1. What is the LCM of 819, 831, 548, 489, 378?
Answer: LCM of 819, 831, 548, 489, 378 is 60792931836.
2. How to calculate the LCM of 819, 831, 548, 489, 378?
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, 831, 548, 489, 378.
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}.