Find the LCM of 311, 382, 403, 992, 964 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, 382, 403, 992, 964. So, keep reading to learn more.
Given numbers are 311,382,403,992,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,382,403,992,964 is 184614506336.
Find LCM of 311,382,403,992,964 with Prime Factorization
2 | 311, 382, 403, 992, 964 |
2 | 311, 191, 403, 496, 482 |
31 | 311, 191, 403, 248, 241 |
311, 191, 13, 8, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 311 x 191 x 13 x 8 x 241 = 184614506336
Therefore, the lowest common multiple of 311,382,403,992,964 is 184614506336.
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 382 x 403 x 992 x 964 = 45784397571328
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
382 : 1, 2, 191, 382
403 : 1, 13, 31, 403
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,382,403,992,964, is 1.
Now, the common factors can be found like this.
311:311
382:2x 191
403:13x 31
992:2x 2x 2x 2x 2x 31
964:2x 2x 241
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 31 = 248
Therefore, the value for common factors is 248.
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 = 45784397571328/(1x248)
LCM = 45784397571328/248
LCM = 184614506336
Thus, we can understand that the LCM of 311,382,403,992,964 is 184614506336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 311, 382, 403, 992, 964?
Answer: LCM of 311, 382, 403, 992, 964 is 184614506336.
2. How to calculate the LCM of 311, 382, 403, 992, 964?
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, 382, 403, 992, 964.
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}.