LCM of 777, 231, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 231, 814 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 777, 231, 814. So, keep reading to learn more.
Given numbers are 777,231,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,231,814 is 17094.
Find LCM of 777,231,814 with Prime Factorization
| 3 | 777, 231, 814 |
| 7 | 259, 77, 814 |
| 11 | 37, 11, 814 |
| 37 | 37, 1, 74 |
| 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 37 x 1 x 1 x 2 = 17094
Therefore, the lowest common multiple of 777,231,814 is 17094.
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.
777 x 231 x 814 = 146102418
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
231 : 1, 3, 7, 11, 21, 33, 77, 231
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,231,814, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
231:3x 7x 11
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 37 = 8547
Therefore, the value for common factors is 8547.
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 = 146102418/(1x8547)
LCM = 146102418/8547
LCM = 17094
Thus, we can understand that the LCM of 777,231,814 is 17094.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 777, 231, 814
1. What is the LCM of 777, 231, 814?
Answer: LCM of 777, 231, 814 is 17094.
2. How to calculate the LCM of 777, 231, 814?
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 777, 231, 814.
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}.