LCM of 806, 728, 806, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 728, 806, 672 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 806, 728, 806, 672. So, keep reading to learn more.
Given numbers are 806,728,806,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,728,806,672 is 270816.
Find LCM of 806,728,806,672 with Prime Factorization
| 2 | 806, 728, 806, 672 |
| 2 | 403, 364, 403, 336 |
| 2 | 403, 182, 403, 168 |
| 7 | 403, 91, 403, 84 |
| 13 | 403, 13, 403, 12 |
| 31 | 31, 1, 31, 12 |
| 1, 1, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 31 x 1 x 1 x 1 x 12 = 270816
Therefore, the lowest common multiple of 806,728,806,672 is 270816.
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.
806 x 728 x 806 x 672 = 317812325376
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
806 : 1, 2, 13, 26, 31, 62, 403, 806
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,728,806,672, is 2.
Now, the common factors can be found like this.
806:2x 13x 31
728:2x 2x 2x 7x 13
806:2x 13x 31
672:2x 2x 2x 2x 2x 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 2x 2x 2x 7x 13x 13x 31 = 586768
Therefore, the value for common factors is 586768.
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 = 317812325376/(2x586768)
LCM = 317812325376/1173536
LCM = 270816
Thus, we can understand that the LCM of 806,728,806,672 is 270816.
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FAQs on LCM of 806, 728, 806, 672
1. What is the LCM of 806, 728, 806, 672?
Answer: LCM of 806, 728, 806, 672 is 270816.
2. How to calculate the LCM of 806, 728, 806, 672?
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 806, 728, 806, 672.
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}.