Find the LCM of 775, 311, 792, 341 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 775, 311, 792, 341. So, keep reading to learn more.
Given numbers are 775,311,792,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,311,792,341 is 190891800.
Find LCM of 775,311,792,341 with Prime Factorization
11 | 775, 311, 792, 341 |
31 | 775, 311, 72, 31 |
25, 311, 72, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 25 x 311 x 72 x 1 = 190891800
Therefore, the lowest common multiple of 775,311,792,341 is 190891800.
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.
775 x 311 x 792 x 341 = 65094103800
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.
775 : 1, 5, 25, 31, 155, 775
311 : 1, 311
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
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,311,792,341, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
311:311
792:2x 2x 2x 3x 3x 11
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 65094103800/(1x341)
LCM = 65094103800/341
LCM = 190891800
Thus, we can understand that the LCM of 775,311,792,341 is 190891800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 311, 792, 341?
Answer: LCM of 775, 311, 792, 341 is 190891800.
2. How to calculate the LCM of 775, 311, 792, 341?
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 775, 311, 792, 341.
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}.