LCM of 704, 256, 331, 835, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 256, 331, 835, 993 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, 256, 331, 835, 993. So, keep reading to learn more.
Given numbers are 704,256,331,835,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,256,331,835,993 is 2334900480.
Find LCM of 704,256,331,835,993 with Prime Factorization
| 2 | 704, 256, 331, 835, 993 |
| 2 | 352, 128, 331, 835, 993 |
| 2 | 176, 64, 331, 835, 993 |
| 2 | 88, 32, 331, 835, 993 |
| 2 | 44, 16, 331, 835, 993 |
| 2 | 22, 8, 331, 835, 993 |
| 331 | 11, 4, 331, 835, 993 |
| 11, 4, 1, 835, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 331 x 11 x 4 x 1 x 835 x 3 = 2334900480
Therefore, the lowest common multiple of 704,256,331,835,993 is 2334900480.
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 256 x 331 x 835 x 993 = 49462531768320
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
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
331 : 1, 331
835 : 1, 5, 167, 835
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,256,331,835,993, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
256:2x 2x 2x 2x 2x 2x 2x 2
331:331
835:5x 167
993:3x 331
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 331 = 21184
Therefore, the value for common factors is 21184.
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 = 49462531768320/(1x21184)
LCM = 49462531768320/21184
LCM = 2334900480
Thus, we can understand that the LCM of 704,256,331,835,993 is 2334900480.
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FAQs on LCM of 704, 256, 331, 835, 993
1. What is the LCM of 704, 256, 331, 835, 993?
Answer: LCM of 704, 256, 331, 835, 993 is 2334900480.
2. How to calculate the LCM of 704, 256, 331, 835, 993?
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, 256, 331, 835, 993.
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}.