LCM of 317, 502, 634, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 502, 634, 382 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 317, 502, 634, 382. So, keep reading to learn more.
Given numbers are 317,502,634,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,502,634,382 is 30394594.
Find LCM of 317,502,634,382 with Prime Factorization
| 2 | 317, 502, 634, 382 |
| 317 | 317, 251, 317, 191 |
| 1, 251, 1, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 1 x 251 x 1 x 191 = 30394594
Therefore, the lowest common multiple of 317,502,634,382 is 30394594.
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.
317 x 502 x 634 x 382 = 38540345192
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.
317 : 1, 317
502 : 1, 2, 251, 502
634 : 1, 2, 317, 634
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,502,634,382, is 1.
Now, the common factors can be found like this.
317:317
502:2x 251
634:2x 317
382:2x 191
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 317 = 1268
Therefore, the value for common factors is 1268.
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 = 38540345192/(1x1268)
LCM = 38540345192/1268
LCM = 30394594
Thus, we can understand that the LCM of 317,502,634,382 is 30394594.
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FAQs on LCM of 317, 502, 634, 382
1. What is the LCM of 317, 502, 634, 382?
Answer: LCM of 317, 502, 634, 382 is 30394594.
2. How to calculate the LCM of 317, 502, 634, 382?
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 317, 502, 634, 382.
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}.