LCM of 721, 309, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 309, 896 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 721, 309, 896. So, keep reading to learn more.
Given numbers are 721,309,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,309,896 is 276864.
Find LCM of 721,309,896 with Prime Factorization
| 7 | 721, 309, 896 |
| 103 | 103, 309, 128 |
| 1, 3, 128 |
Multiply the prime numbers at the bottom and the left side.
7 x 103 x 1 x 3 x 128 = 276864
Therefore, the lowest common multiple of 721,309,896 is 276864.
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.
721 x 309 x 896 = 199618944
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.
721 : 1, 7, 103, 721
309 : 1, 3, 103, 309
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,309,896, is 1.
Now, the common factors can be found like this.
721:7x 103
309:3x 103
896:2x 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.
7x 103 = 721
Therefore, the value for common factors is 721.
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 = 199618944/(1x721)
LCM = 199618944/721
LCM = 276864
Thus, we can understand that the LCM of 721,309,896 is 276864.
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FAQs on LCM of 721, 309, 896
1. What is the LCM of 721, 309, 896?
Answer: LCM of 721, 309, 896 is 276864.
2. How to calculate the LCM of 721, 309, 896?
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 721, 309, 896.
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}.