LCM of 634, 425, 394, 788, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 425, 394, 788, 340 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, 425, 394, 788, 340. So, keep reading to learn more.
Given numbers are 634,425,394,788,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,425,394,788,340 is 106163300.
Find LCM of 634,425,394,788,340 with Prime Factorization
| 2 | 634, 425, 394, 788, 340 |
| 2 | 317, 425, 197, 394, 170 |
| 5 | 317, 425, 197, 197, 85 |
| 17 | 317, 17, 197, 197, 85 |
| 197 | 317, 1, 197, 197, 5 |
| 317, 1, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 197 x 317 x 1 x 1 x 1 x 5 = 106163300
Therefore, the lowest common multiple of 634,425,394,788,340 is 106163300.
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 425 x 394 x 788 x 340 = 28443271336000
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
425 : 1, 5, 17, 25, 85, 425
394 : 1, 2, 197, 394
788 : 1, 2, 4, 197, 394, 788
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,425,394,788,340, is 1.
Now, the common factors can be found like this.
634:2x 317
425:5x 5x 17
394:2x 197
788:2x 2x 197
340:2x 2x 5x 17
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 5x 17x 197 = 267920
Therefore, the value for common factors is 267920.
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 = 28443271336000/(1x267920)
LCM = 28443271336000/267920
LCM = 106163300
Thus, we can understand that the LCM of 634,425,394,788,340 is 106163300.
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FAQs on LCM of 634, 425, 394, 788, 340
1. What is the LCM of 634, 425, 394, 788, 340?
Answer: LCM of 634, 425, 394, 788, 340 is 106163300.
2. How to calculate the LCM of 634, 425, 394, 788, 340?
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, 425, 394, 788, 340.
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}.