LCM of 313, 348, 313, 469, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 348, 313, 469, 492 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, 348, 313, 469, 492. So, keep reading to learn more.
Given numbers are 313,348,313,469,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,348,313,469,492 is 2094499596.
Find LCM of 313,348,313,469,492 with Prime Factorization
| 2 | 313, 348, 313, 469, 492 |
| 2 | 313, 174, 313, 469, 246 |
| 3 | 313, 87, 313, 469, 123 |
| 313 | 313, 29, 313, 469, 41 |
| 1, 29, 1, 469, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 313 x 1 x 29 x 1 x 469 x 41 = 2094499596
Therefore, the lowest common multiple of 313,348,313,469,492 is 2094499596.
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 348 x 313 x 469 x 492 = 7866940482576
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
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
313 : 1, 313
469 : 1, 7, 67, 469
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,348,313,469,492, is 1.
Now, the common factors can be found like this.
313:313
348:2x 2x 3x 29
313:313
469:7x 67
492:2x 2x 3x 41
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 3x 313 = 3756
Therefore, the value for common factors is 3756.
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 = 7866940482576/(1x3756)
LCM = 7866940482576/3756
LCM = 2094499596
Thus, we can understand that the LCM of 313,348,313,469,492 is 2094499596.
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, 348, 313, 469, 492
1. What is the LCM of 313, 348, 313, 469, 492?
Answer: LCM of 313, 348, 313, 469, 492 is 2094499596.
2. How to calculate the LCM of 313, 348, 313, 469, 492?
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, 348, 313, 469, 492.
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}.