Find the LCM of 311, 485, 776, 309 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 311, 485, 776, 309. So, keep reading to learn more.
Given numbers are 311,485,776,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,485,776,309 is 372864120.
Find LCM of 311,485,776,309 with Prime Factorization
97 | 311, 485, 776, 309 |
311, 5, 8, 309 |
Multiply the prime numbers at the bottom and the left side.
97 x 311 x 5 x 8 x 309 = 372864120
Therefore, the lowest common multiple of 311,485,776,309 is 372864120.
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.
311 x 485 x 776 x 309 = 36167819640
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.
311 : 1, 311
485 : 1, 5, 97, 485
776 : 1, 2, 4, 8, 97, 194, 388, 776
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,485,776,309, is 1.
Now, the common factors can be found like this.
311:311
485:5x 97
776:2x 2x 2x 97
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
97 = 97
Therefore, the value for common factors is 97.
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 = 36167819640/(1x97)
LCM = 36167819640/97
LCM = 372864120
Thus, we can understand that the LCM of 311,485,776,309 is 372864120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 311, 485, 776, 309?
Answer: LCM of 311, 485, 776, 309 is 372864120.
2. How to calculate the LCM of 311, 485, 776, 309?
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 311, 485, 776, 309.
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}.