Find the LCM of 813, 194, 291, 363, 904 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, 194, 291, 363, 904. So, keep reading to learn more.
Given numbers are 813,194,291,363,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,194,291,363,904 is 8626131624.
Find LCM of 813,194,291,363,904 with Prime Factorization
2 | 813, 194, 291, 363, 904 |
3 | 813, 97, 291, 363, 452 |
97 | 271, 97, 97, 121, 452 |
271, 1, 1, 121, 452 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 271 x 1 x 1 x 121 x 452 = 8626131624
Therefore, the lowest common multiple of 813,194,291,363,904 is 8626131624.
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 194 x 291 x 363 x 904 = 15061225815504
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
194 : 1, 2, 97, 194
291 : 1, 3, 97, 291
363 : 1, 3, 11, 33, 121, 363
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,194,291,363,904, is 1.
Now, the common factors can be found like this.
813:3x 271
194:2x 97
291:3x 97
363:3x 11x 11
904:2x 2x 2x 113
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 97 = 1746
Therefore, the value for common factors is 1746.
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 = 15061225815504/(1x1746)
LCM = 15061225815504/1746
LCM = 8626131624
Thus, we can understand that the LCM of 813,194,291,363,904 is 8626131624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 194, 291, 363, 904?
Answer: LCM of 813, 194, 291, 363, 904 is 8626131624.
2. How to calculate the LCM of 813, 194, 291, 363, 904?
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, 194, 291, 363, 904.
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}.