LCM of 704, 736, 771, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 736, 771, 831 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, 736, 771, 831. So, keep reading to learn more.
Given numbers are 704,736,771,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,736,771,831 is 3458076864.
Find LCM of 704,736,771,831 with Prime Factorization
| 2 | 704, 736, 771, 831 |
| 2 | 352, 368, 771, 831 |
| 2 | 176, 184, 771, 831 |
| 2 | 88, 92, 771, 831 |
| 2 | 44, 46, 771, 831 |
| 3 | 22, 23, 771, 831 |
| 22, 23, 257, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 22 x 23 x 257 x 277 = 3458076864
Therefore, the lowest common multiple of 704,736,771,831 is 3458076864.
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 736 x 771 x 831 = 331975378944
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
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
771 : 1, 3, 257, 771
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,736,771,831, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
736:2x 2x 2x 2x 2x 23
771:3x 257
831:3x 277
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 3 = 96
Therefore, the value for common factors is 96.
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 = 331975378944/(1x96)
LCM = 331975378944/96
LCM = 3458076864
Thus, we can understand that the LCM of 704,736,771,831 is 3458076864.
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FAQs on LCM of 704, 736, 771, 831
1. What is the LCM of 704, 736, 771, 831?
Answer: LCM of 704, 736, 771, 831 is 3458076864.
2. How to calculate the LCM of 704, 736, 771, 831?
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, 736, 771, 831.
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}.