Find the LCM of 574, 738, 849, 932, 204 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 574, 738, 849, 932, 204. So, keep reading to learn more.
Given numbers are 574,738,849,932,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,738,849,932,204 is 11581789716.
Find LCM of 574,738,849,932,204 with Prime Factorization
2 | 574, 738, 849, 932, 204 |
2 | 287, 369, 849, 466, 102 |
3 | 287, 369, 849, 233, 51 |
41 | 287, 123, 283, 233, 17 |
7, 3, 283, 233, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 7 x 3 x 283 x 233 x 17 = 11581789716
Therefore, the lowest common multiple of 574,738,849,932,204 is 11581789716.
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.
574 x 738 x 849 x 932 x 204 = 68378886483264
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
849 : 1, 3, 283, 849
932 : 1, 2, 4, 233, 466, 932
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,738,849,932,204, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
738:2x 3x 3x 41
849:3x 283
932:2x 2x 233
204:2x 2x 3x 17
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 2x 2x 3x 3x 41 = 5904
Therefore, the value for common factors is 5904.
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 = 68378886483264/(1x5904)
LCM = 68378886483264/5904
LCM = 11581789716
Thus, we can understand that the LCM of 574,738,849,932,204 is 11581789716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 574, 738, 849, 932, 204?
Answer: LCM of 574, 738, 849, 932, 204 is 11581789716.
2. How to calculate the LCM of 574, 738, 849, 932, 204?
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 574, 738, 849, 932, 204.
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}.