LCM of 311, 494, 454, 400, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 494, 454, 400, 917 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 311, 494, 454, 400, 917. So, keep reading to learn more.
Given numbers are 311,494,454,400,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,494,454,400,917 is 6396059961200.
Find LCM of 311,494,454,400,917 with Prime Factorization
| 2 | 311, 494, 454, 400, 917 |
| 311, 247, 227, 200, 917 |
Multiply the prime numbers at the bottom and the left side.
2 x 311 x 247 x 227 x 200 x 917 = 6396059961200
Therefore, the lowest common multiple of 311,494,454,400,917 is 6396059961200.
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.
311 x 494 x 454 x 400 x 917 = 25584239844800
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.
311 : 1, 311
494 : 1, 2, 13, 19, 26, 38, 247, 494
454 : 1, 2, 227, 454
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,494,454,400,917, is 1.
Now, the common factors can be found like this.
311:311
494:2x 13x 19
454:2x 227
400:2x 2x 2x 2x 5x 5
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 25584239844800/(1x4)
LCM = 25584239844800/4
LCM = 6396059961200
Thus, we can understand that the LCM of 311,494,454,400,917 is 6396059961200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 311, 494, 454, 400, 917
1. What is the LCM of 311, 494, 454, 400, 917?
Answer: LCM of 311, 494, 454, 400, 917 is 6396059961200.
2. How to calculate the LCM of 311, 494, 454, 400, 917?
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 311, 494, 454, 400, 917.
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}.