Find the LCM of 311, 392, 804, 208, 144 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, 392, 804, 208, 144. So, keep reading to learn more.
Given numbers are 311,392,804,208,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,392,804,208,144 is 1911336336.
Find LCM of 311,392,804,208,144 with Prime Factorization
2 | 311, 392, 804, 208, 144 |
2 | 311, 196, 402, 104, 72 |
2 | 311, 98, 201, 52, 36 |
2 | 311, 49, 201, 26, 18 |
3 | 311, 49, 201, 13, 9 |
311, 49, 67, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 311 x 49 x 67 x 13 x 3 = 1911336336
Therefore, the lowest common multiple of 311,392,804,208,144 is 1911336336.
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 392 x 804 x 208 x 144 = 2935812612096
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
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,392,804,208,144, is 1.
Now, the common factors can be found like this.
311:311
392:2x 2x 2x 7x 7
804:2x 2x 3x 67
208:2x 2x 2x 2x 13
144:2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 2935812612096/(1x1536)
LCM = 2935812612096/1536
LCM = 1911336336
Thus, we can understand that the LCM of 311,392,804,208,144 is 1911336336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 311, 392, 804, 208, 144?
Answer: LCM of 311, 392, 804, 208, 144 is 1911336336.
2. How to calculate the LCM of 311, 392, 804, 208, 144?
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, 392, 804, 208, 144.
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}.