LCM of 256, 734, 397, 813, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 734, 397, 813, 788 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 256, 734, 397, 813, 788. So, keep reading to learn more.
Given numbers are 256,734,397,813,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,734,397,813,788 is 5973836169984.
Find LCM of 256,734,397,813,788 with Prime Factorization
| 2 | 256, 734, 397, 813, 788 |
| 2 | 128, 367, 397, 813, 394 |
| 64, 367, 397, 813, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 64 x 367 x 397 x 813 x 197 = 5973836169984
Therefore, the lowest common multiple of 256,734,397,813,788 is 5973836169984.
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.
256 x 734 x 397 x 813 x 788 = 47790689359872
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
734 : 1, 2, 367, 734
397 : 1, 397
813 : 1, 3, 271, 813
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,734,397,813,788, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
734:2x 367
397:397
813:3x 271
788:2x 2x 197
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 2 = 8
Therefore, the value for common factors is 8.
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 = 47790689359872/(1x8)
LCM = 47790689359872/8
LCM = 5973836169984
Thus, we can understand that the LCM of 256,734,397,813,788 is 5973836169984.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 256, 734, 397, 813, 788
1. What is the LCM of 256, 734, 397, 813, 788?
Answer: LCM of 256, 734, 397, 813, 788 is 5973836169984.
2. How to calculate the LCM of 256, 734, 397, 813, 788?
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 256, 734, 397, 813, 788.
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}.