LCM of 448, 384, 309, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 384, 309, 419 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 448, 384, 309, 419. So, keep reading to learn more.
Given numbers are 448,384,309,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,384,309,419 is 116006016.
Find LCM of 448,384,309,419 with Prime Factorization
| 2 | 448, 384, 309, 419 |
| 2 | 224, 192, 309, 419 |
| 2 | 112, 96, 309, 419 |
| 2 | 56, 48, 309, 419 |
| 2 | 28, 24, 309, 419 |
| 2 | 14, 12, 309, 419 |
| 3 | 7, 6, 309, 419 |
| 7, 2, 103, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 2 x 103 x 419 = 116006016
Therefore, the lowest common multiple of 448,384,309,419 is 116006016.
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.
448 x 384 x 309 x 419 = 22273155072
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
309 : 1, 3, 103, 309
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,384,309,419, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
384:2x 2x 2x 2x 2x 2x 2x 3
309:3x 103
419:419
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 3 = 192
Therefore, the value for common factors is 192.
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 = 22273155072/(1x192)
LCM = 22273155072/192
LCM = 116006016
Thus, we can understand that the LCM of 448,384,309,419 is 116006016.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 448, 384, 309, 419
1. What is the LCM of 448, 384, 309, 419?
Answer: LCM of 448, 384, 309, 419 is 116006016.
2. How to calculate the LCM of 448, 384, 309, 419?
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 448, 384, 309, 419.
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}.