LCM of 777, 777, 321, 979, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 777, 321, 979, 753 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, 777, 321, 979, 753. So, keep reading to learn more.
Given numbers are 777,777,321,979,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,777,321,979,753 is 20429663331.
Find LCM of 777,777,321,979,753 with Prime Factorization
| 3 | 777, 777, 321, 979, 753 |
| 7 | 259, 259, 107, 979, 251 |
| 37 | 37, 37, 107, 979, 251 |
| 1, 1, 107, 979, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 37 x 1 x 1 x 107 x 979 x 251 = 20429663331
Therefore, the lowest common multiple of 777,777,321,979,753 is 20429663331.
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 777 x 321 x 979 x 753 = 142864635673683
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
777 : 1, 3, 7, 21, 37, 111, 259, 777
321 : 1, 3, 107, 321
979 : 1, 11, 89, 979
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,777,321,979,753, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
777:3x 7x 37
321:3x 107
979:11x 89
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 37 = 6993
Therefore, the value for common factors is 6993.
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 = 142864635673683/(1x6993)
LCM = 142864635673683/6993
LCM = 20429663331
Thus, we can understand that the LCM of 777,777,321,979,753 is 20429663331.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 777, 777, 321, 979, 753
1. What is the LCM of 777, 777, 321, 979, 753?
Answer: LCM of 777, 777, 321, 979, 753 is 20429663331.
2. How to calculate the LCM of 777, 777, 321, 979, 753?
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, 777, 321, 979, 753.
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}.