LCM of 806, 763, 678, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 763, 678, 721 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, 763, 678, 721. So, keep reading to learn more.
Given numbers are 806,763,678,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,763,678,721 is 21473186826.
Find LCM of 806,763,678,721 with Prime Factorization
| 2 | 806, 763, 678, 721 |
| 7 | 403, 763, 339, 721 |
| 403, 109, 339, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 403 x 109 x 339 x 103 = 21473186826
Therefore, the lowest common multiple of 806,763,678,721 is 21473186826.
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 763 x 678 x 721 = 300624615564
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
763 : 1, 7, 109, 763
678 : 1, 2, 3, 6, 113, 226, 339, 678
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,763,678,721, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
763:7x 109
678:2x 3x 113
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 300624615564/(1x14)
LCM = 300624615564/14
LCM = 21473186826
Thus, we can understand that the LCM of 806,763,678,721 is 21473186826.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 806, 763, 678, 721
1. What is the LCM of 806, 763, 678, 721?
Answer: LCM of 806, 763, 678, 721 is 21473186826.
2. How to calculate the LCM of 806, 763, 678, 721?
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, 763, 678, 721.
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}.