LCM of 308, 974, 487, 517, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 974, 487, 517, 317 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 308, 974, 487, 517, 317. So, keep reading to learn more.
Given numbers are 308,974,487,517,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,974,487,517,317 is 2234790404.
Find LCM of 308,974,487,517,317 with Prime Factorization
| 2 | 308, 974, 487, 517, 317 |
| 11 | 154, 487, 487, 517, 317 |
| 487 | 14, 487, 487, 47, 317 |
| 14, 1, 1, 47, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 487 x 14 x 1 x 1 x 47 x 317 = 2234790404
Therefore, the lowest common multiple of 308,974,487,517,317 is 2234790404.
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.
308 x 974 x 487 x 517 x 317 = 23943544388456
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
974 : 1, 2, 487, 974
487 : 1, 487
517 : 1, 11, 47, 517
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,974,487,517,317, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
974:2x 487
487:487
517:11x 47
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 487 = 10714
Therefore, the value for common factors is 10714.
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 = 23943544388456/(1x10714)
LCM = 23943544388456/10714
LCM = 2234790404
Thus, we can understand that the LCM of 308,974,487,517,317 is 2234790404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 308, 974, 487, 517, 317
1. What is the LCM of 308, 974, 487, 517, 317?
Answer: LCM of 308, 974, 487, 517, 317 is 2234790404.
2. How to calculate the LCM of 308, 974, 487, 517, 317?
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 308, 974, 487, 517, 317.
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}.