Find the LCM of 813, 457, 831, 764, 329 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 813, 457, 831, 764, 329. So, keep reading to learn more.
Given numbers are 813,457,831,764,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,457,831,764,329 is 25868769508092.
Find LCM of 813,457,831,764,329 with Prime Factorization
3 | 813, 457, 831, 764, 329 |
271, 457, 277, 764, 329 |
Multiply the prime numbers at the bottom and the left side.
3 x 271 x 457 x 277 x 764 x 329 = 25868769508092
Therefore, the lowest common multiple of 813,457,831,764,329 is 25868769508092.
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.
813 x 457 x 831 x 764 x 329 = 77606308524276
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.
813 : 1, 3, 271, 813
457 : 1, 457
831 : 1, 3, 277, 831
764 : 1, 2, 4, 191, 382, 764
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,457,831,764,329, is 1.
Now, the common factors can be found like this.
813:3x 271
457:457
831:3x 277
764:2x 2x 191
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 77606308524276/(1x3)
LCM = 77606308524276/3
LCM = 25868769508092
Thus, we can understand that the LCM of 813,457,831,764,329 is 25868769508092.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 457, 831, 764, 329?
Answer: LCM of 813, 457, 831, 764, 329 is 25868769508092.
2. How to calculate the LCM of 813, 457, 831, 764, 329?
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 813, 457, 831, 764, 329.
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}.