LCM of 704, 384, 991, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 384, 991, 271 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, 384, 991, 271. So, keep reading to learn more.
Given numbers are 704,384,991,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,384,991,271 is 1134401664.
Find LCM of 704,384,991,271 with Prime Factorization
| 2 | 704, 384, 991, 271 |
| 2 | 352, 192, 991, 271 |
| 2 | 176, 96, 991, 271 |
| 2 | 88, 48, 991, 271 |
| 2 | 44, 24, 991, 271 |
| 2 | 22, 12, 991, 271 |
| 11, 6, 991, 271 |
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 6 x 991 x 271 = 1134401664
Therefore, the lowest common multiple of 704,384,991,271 is 1134401664.
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 384 x 991 x 271 = 72601706496
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
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
991 : 1, 991
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,384,991,271, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
384:2x 2x 2x 2x 2x 2x 2x 3
991:991
271:271
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 2 = 64
Therefore, the value for common factors is 64.
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 = 72601706496/(1x64)
LCM = 72601706496/64
LCM = 1134401664
Thus, we can understand that the LCM of 704,384,991,271 is 1134401664.
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FAQs on LCM of 704, 384, 991, 271
1. What is the LCM of 704, 384, 991, 271?
Answer: LCM of 704, 384, 991, 271 is 1134401664.
2. How to calculate the LCM of 704, 384, 991, 271?
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, 384, 991, 271.
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}.