Find the LCM of 311, 933, 260, 832, 675 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, 933, 260, 832, 675. So, keep reading to learn more.
Given numbers are 311,933,260,832,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,933,260,832,675 is 174657600.
Find LCM of 311,933,260,832,675 with Prime Factorization
2 | 311, 933, 260, 832, 675 |
2 | 311, 933, 130, 416, 675 |
3 | 311, 933, 65, 208, 675 |
5 | 311, 311, 65, 208, 225 |
13 | 311, 311, 13, 208, 45 |
311 | 311, 311, 1, 16, 45 |
1, 1, 1, 16, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 311 x 1 x 1 x 1 x 16 x 45 = 174657600
Therefore, the lowest common multiple of 311,933,260,832,675 is 174657600.
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 933 x 260 x 832 x 675 = 42368440608000
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
933 : 1, 3, 311, 933
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,933,260,832,675, is 1.
Now, the common factors can be found like this.
311:311
933:3x 311
260:2x 2x 5x 13
832:2x 2x 2x 2x 2x 2x 13
675:3x 3x 3x 5x 5
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 3x 5x 13x 311 = 242580
Therefore, the value for common factors is 242580.
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 = 42368440608000/(1x242580)
LCM = 42368440608000/242580
LCM = 174657600
Thus, we can understand that the LCM of 311,933,260,832,675 is 174657600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 311, 933, 260, 832, 675?
Answer: LCM of 311, 933, 260, 832, 675 is 174657600.
2. How to calculate the LCM of 311, 933, 260, 832, 675?
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, 933, 260, 832, 675.
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}.