LCM of 777, 644, 616, 917, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 644, 616, 917, 523 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, 644, 616, 917, 523. So, keep reading to learn more.
Given numbers are 777,644,616,917,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,644,616,917,523 is 107746832424.
Find LCM of 777,644,616,917,523 with Prime Factorization
| 2 | 777, 644, 616, 917, 523 |
| 2 | 777, 322, 308, 917, 523 |
| 7 | 777, 161, 154, 917, 523 |
| 111, 23, 22, 131, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 111 x 23 x 22 x 131 x 523 = 107746832424
Therefore, the lowest common multiple of 777,644,616,917,523 is 107746832424.
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 644 x 616 x 917 x 523 = 147828654085728
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
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
917 : 1, 7, 131, 917
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,644,616,917,523, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
644:2x 2x 7x 23
616:2x 2x 2x 7x 11
917:7x 131
523:523
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 7x 7x 7 = 1372
Therefore, the value for common factors is 1372.
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 = 147828654085728/(1x1372)
LCM = 147828654085728/1372
LCM = 107746832424
Thus, we can understand that the LCM of 777,644,616,917,523 is 107746832424.
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, 644, 616, 917, 523
1. What is the LCM of 777, 644, 616, 917, 523?
Answer: LCM of 777, 644, 616, 917, 523 is 107746832424.
2. How to calculate the LCM of 777, 644, 616, 917, 523?
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, 644, 616, 917, 523.
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}.