LCM of 313, 400, 128, 465, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 400, 128, 465, 914 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 313, 400, 128, 465, 914. So, keep reading to learn more.
Given numbers are 313,400,128,465,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,400,128,465,914 is 42569001600.
Find LCM of 313,400,128,465,914 with Prime Factorization
| 2 | 313, 400, 128, 465, 914 |
| 2 | 313, 200, 64, 465, 457 |
| 2 | 313, 100, 32, 465, 457 |
| 2 | 313, 50, 16, 465, 457 |
| 5 | 313, 25, 8, 465, 457 |
| 313, 5, 8, 93, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 313 x 5 x 8 x 93 x 457 = 42569001600
Therefore, the lowest common multiple of 313,400,128,465,914 is 42569001600.
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.
313 x 400 x 128 x 465 x 914 = 6811040256000
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.
313 : 1, 313
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
128 : 1, 2, 4, 8, 16, 32, 64, 128
465 : 1, 3, 5, 15, 31, 93, 155, 465
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,400,128,465,914, is 1.
Now, the common factors can be found like this.
313:313
400:2x 2x 2x 2x 5x 5
128:2x 2x 2x 2x 2x 2x 2
465:3x 5x 31
914:2x 457
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 5 = 160
Therefore, the value for common factors is 160.
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 = 6811040256000/(1x160)
LCM = 6811040256000/160
LCM = 42569001600
Thus, we can understand that the LCM of 313,400,128,465,914 is 42569001600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 313, 400, 128, 465, 914
1. What is the LCM of 313, 400, 128, 465, 914?
Answer: LCM of 313, 400, 128, 465, 914 is 42569001600.
2. How to calculate the LCM of 313, 400, 128, 465, 914?
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 313, 400, 128, 465, 914.
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}.