Find the LCM of 431, 484, 716, 793, 223 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 431, 484, 716, 793, 223. So, keep reading to learn more.
Given numbers are 431,484,716,793,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,484,716,793,223 is 6603188773324.
Find LCM of 431,484,716,793,223 with Prime Factorization
2 | 431, 484, 716, 793, 223 |
2 | 431, 242, 358, 793, 223 |
431, 121, 179, 793, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 431 x 121 x 179 x 793 x 223 = 6603188773324
Therefore, the lowest common multiple of 431,484,716,793,223 is 6603188773324.
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.
431 x 484 x 716 x 793 x 223 = 26412755093296
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.
431 : 1, 431
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
716 : 1, 2, 4, 179, 358, 716
793 : 1, 13, 61, 793
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,484,716,793,223, is 1.
Now, the common factors can be found like this.
431:431
484:2x 2x 11x 11
716:2x 2x 179
793:13x 61
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 26412755093296/(1x4)
LCM = 26412755093296/4
LCM = 6603188773324
Thus, we can understand that the LCM of 431,484,716,793,223 is 6603188773324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 484, 716, 793, 223?
Answer: LCM of 431, 484, 716, 793, 223 is 6603188773324.
2. How to calculate the LCM of 431, 484, 716, 793, 223?
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 431, 484, 716, 793, 223.
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}.