LCM of 704, 842, 517, 448, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 842, 517, 448, 223 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 704, 842, 517, 448, 223. So, keep reading to learn more.
Given numbers are 704,842,517,448,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,842,517,448,223 is 21744804928.
Find LCM of 704,842,517,448,223 with Prime Factorization
| 2 | 704, 842, 517, 448, 223 |
| 2 | 352, 421, 517, 224, 223 |
| 2 | 176, 421, 517, 112, 223 |
| 2 | 88, 421, 517, 56, 223 |
| 2 | 44, 421, 517, 28, 223 |
| 2 | 22, 421, 517, 14, 223 |
| 11 | 11, 421, 517, 7, 223 |
| 1, 421, 47, 7, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 11 x 1 x 421 x 47 x 7 x 223 = 21744804928
Therefore, the lowest common multiple of 704,842,517,448,223 is 21744804928.
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.
704 x 842 x 517 x 448 x 223 = 30616685338624
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
842 : 1, 2, 421, 842
517 : 1, 11, 47, 517
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,842,517,448,223, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
842:2x 421
517:11x 47
448:2x 2x 2x 2x 2x 2x 7
223:223
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 11 = 1408
Therefore, the value for common factors is 1408.
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 = 30616685338624/(1x1408)
LCM = 30616685338624/1408
LCM = 21744804928
Thus, we can understand that the LCM of 704,842,517,448,223 is 21744804928.
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FAQs on LCM of 704, 842, 517, 448, 223
1. What is the LCM of 704, 842, 517, 448, 223?
Answer: LCM of 704, 842, 517, 448, 223 is 21744804928.
2. How to calculate the LCM of 704, 842, 517, 448, 223?
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 704, 842, 517, 448, 223.
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}.