LCM of 126, 311, 416, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 311, 416, 448 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 126, 311, 416, 448. So, keep reading to learn more.
Given numbers are 126,311,416,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,311,416,448 is 16301376.
Find LCM of 126,311,416,448 with Prime Factorization
| 2 | 126, 311, 416, 448 |
| 2 | 63, 311, 208, 224 |
| 2 | 63, 311, 104, 112 |
| 2 | 63, 311, 52, 56 |
| 2 | 63, 311, 26, 28 |
| 7 | 63, 311, 13, 14 |
| 9, 311, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 9 x 311 x 13 x 2 = 16301376
Therefore, the lowest common multiple of 126,311,416,448 is 16301376.
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.
126 x 311 x 416 x 448 = 7303016448
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
311 : 1, 311
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,311,416,448, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
311:311
416:2x 2x 2x 2x 2x 13
448:2x 2x 2x 2x 2x 2x 7
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 7 = 448
Therefore, the value for common factors is 448.
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 = 7303016448/(1x448)
LCM = 7303016448/448
LCM = 16301376
Thus, we can understand that the LCM of 126,311,416,448 is 16301376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 126, 311, 416, 448
1. What is the LCM of 126, 311, 416, 448?
Answer: LCM of 126, 311, 416, 448 is 16301376.
2. How to calculate the LCM of 126, 311, 416, 448?
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 126, 311, 416, 448.
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}.