LCM of 128, 313, 988, 448, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 313, 988, 448, 409 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 128, 313, 988, 448, 409. So, keep reading to learn more.
Given numbers are 128,313,988,448,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,313,988,448,409 is 28331698304.
Find LCM of 128,313,988,448,409 with Prime Factorization
| 2 | 128, 313, 988, 448, 409 |
| 2 | 64, 313, 494, 224, 409 |
| 2 | 32, 313, 247, 112, 409 |
| 2 | 16, 313, 247, 56, 409 |
| 2 | 8, 313, 247, 28, 409 |
| 2 | 4, 313, 247, 14, 409 |
| 2, 313, 247, 7, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 313 x 247 x 7 x 409 = 28331698304
Therefore, the lowest common multiple of 128,313,988,448,409 is 28331698304.
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.
128 x 313 x 988 x 448 x 409 = 7252914765824
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
313 : 1, 313
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,313,988,448,409, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
313:313
988:2x 2x 13x 19
448:2x 2x 2x 2x 2x 2x 7
409:409
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 2 = 256
Therefore, the value for common factors is 256.
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 = 7252914765824/(1x256)
LCM = 7252914765824/256
LCM = 28331698304
Thus, we can understand that the LCM of 128,313,988,448,409 is 28331698304.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 128, 313, 988, 448, 409
1. What is the LCM of 128, 313, 988, 448, 409?
Answer: LCM of 128, 313, 988, 448, 409 is 28331698304.
2. How to calculate the LCM of 128, 313, 988, 448, 409?
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 128, 313, 988, 448, 409.
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}.