Find the LCM of 612, 792, 344, 431, 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 612, 792, 344, 431, 223. So, keep reading to learn more.
Given numbers are 612,792,344,431,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,792,344,431,223 is 55644813576.
Find LCM of 612,792,344,431,223 with Prime Factorization
2 | 612, 792, 344, 431, 223 |
2 | 306, 396, 172, 431, 223 |
2 | 153, 198, 86, 431, 223 |
3 | 153, 99, 43, 431, 223 |
3 | 51, 33, 43, 431, 223 |
17, 11, 43, 431, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 11 x 43 x 431 x 223 = 55644813576
Therefore, the lowest common multiple of 612,792,344,431,223 is 55644813576.
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.
612 x 792 x 344 x 431 x 223 = 16025706309888
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
344 : 1, 2, 4, 8, 43, 86, 172, 344
431 : 1, 431
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,792,344,431,223, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
792:2x 2x 2x 3x 3x 11
344:2x 2x 2x 43
431:431
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 2x 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 16025706309888/(1x288)
LCM = 16025706309888/288
LCM = 55644813576
Thus, we can understand that the LCM of 612,792,344,431,223 is 55644813576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 612, 792, 344, 431, 223?
Answer: LCM of 612, 792, 344, 431, 223 is 55644813576.
2. How to calculate the LCM of 612, 792, 344, 431, 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 612, 792, 344, 431, 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}.