LCM of 634, 410, 346, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 410, 346, 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 634, 410, 346, 317. So, keep reading to learn more.
Given numbers are 634,410,346,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,410,346,317 is 22484810.
Find LCM of 634,410,346,317 with Prime Factorization
| 2 | 634, 410, 346, 317 |
| 317 | 317, 205, 173, 317 |
| 1, 205, 173, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 1 x 205 x 173 x 1 = 22484810
Therefore, the lowest common multiple of 634,410,346,317 is 22484810.
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.
634 x 410 x 346 x 317 = 28510739080
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.
634 : 1, 2, 317, 634
410 : 1, 2, 5, 10, 41, 82, 205, 410
346 : 1, 2, 173, 346
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,410,346,317, is 1.
Now, the common factors can be found like this.
634:2x 317
410:2x 5x 41
346:2x 173
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 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 = 28510739080/(1x1268)
LCM = 28510739080/1268
LCM = 22484810
Thus, we can understand that the LCM of 634,410,346,317 is 22484810.
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FAQs on LCM of 634, 410, 346, 317
1. What is the LCM of 634, 410, 346, 317?
Answer: LCM of 634, 410, 346, 317 is 22484810.
2. How to calculate the LCM of 634, 410, 346, 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 634, 410, 346, 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}.