LCM of 681, 463, 369, 738, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 463, 369, 738, 536 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 681, 463, 369, 738, 536. So, keep reading to learn more.
Given numbers are 681,463,369,738,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,463,369,738,536 is 20787296184.
Find LCM of 681,463,369,738,536 with Prime Factorization
| 2 | 681, 463, 369, 738, 536 |
| 3 | 681, 463, 369, 369, 268 |
| 3 | 227, 463, 123, 123, 268 |
| 41 | 227, 463, 41, 41, 268 |
| 227, 463, 1, 1, 268 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 227 x 463 x 1 x 1 x 268 = 20787296184
Therefore, the lowest common multiple of 681,463,369,738,536 is 20787296184.
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.
681 x 463 x 369 x 738 x 536 = 46023073751376
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.
681 : 1, 3, 227, 681
463 : 1, 463
369 : 1, 3, 9, 41, 123, 369
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,463,369,738,536, is 1.
Now, the common factors can be found like this.
681:3x 227
463:463
369:3x 3x 41
738:2x 3x 3x 41
536:2x 2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 41 = 2214
Therefore, the value for common factors is 2214.
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 = 46023073751376/(1x2214)
LCM = 46023073751376/2214
LCM = 20787296184
Thus, we can understand that the LCM of 681,463,369,738,536 is 20787296184.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 681, 463, 369, 738, 536
1. What is the LCM of 681, 463, 369, 738, 536?
Answer: LCM of 681, 463, 369, 738, 536 is 20787296184.
2. How to calculate the LCM of 681, 463, 369, 738, 536?
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 681, 463, 369, 738, 536.
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}.