Find the LCM of 968, 311, 338, 448, 832 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 968, 311, 338, 448, 832. So, keep reading to learn more.
Given numbers are 968,311,338,448,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,311,338,448,832 is 2849118272.
Find LCM of 968,311,338,448,832 with Prime Factorization
2 | 968, 311, 338, 448, 832 |
2 | 484, 311, 169, 224, 416 |
2 | 242, 311, 169, 112, 208 |
2 | 121, 311, 169, 56, 104 |
2 | 121, 311, 169, 28, 52 |
2 | 121, 311, 169, 14, 26 |
13 | 121, 311, 169, 7, 13 |
121, 311, 1, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 13 x 121 x 311 x 1 x 7 x 13 = 2849118272
Therefore, the lowest common multiple of 968,311,338,448,832 is 2849118272.
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.
968 x 311 x 338 x 448 x 832 = 37927462436864
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
311 : 1, 311
338 : 1, 2, 13, 26, 169, 338
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,311,338,448,832, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
311:311
338:2x 13x 13
448:2x 2x 2x 2x 2x 2x 7
832:2x 2x 2x 2x 2x 2x 13
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 2x 13 = 13312
Therefore, the value for common factors is 13312.
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 = 37927462436864/(1x13312)
LCM = 37927462436864/13312
LCM = 2849118272
Thus, we can understand that the LCM of 968,311,338,448,832 is 2849118272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 968, 311, 338, 448, 832?
Answer: LCM of 968, 311, 338, 448, 832 is 2849118272.
2. How to calculate the LCM of 968, 311, 338, 448, 832?
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 968, 311, 338, 448, 832.
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}.