LCM of 909, 635, 760, 394, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 635, 760, 394, 591 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 909, 635, 760, 394, 591. So, keep reading to learn more.
Given numbers are 909,635,760,394,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,635,760,394,591 is 17284125960.
Find LCM of 909,635,760,394,591 with Prime Factorization
| 2 | 909, 635, 760, 394, 591 |
| 3 | 909, 635, 380, 197, 591 |
| 5 | 303, 635, 380, 197, 197 |
| 197 | 303, 127, 76, 197, 197 |
| 303, 127, 76, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 197 x 303 x 127 x 76 x 1 x 1 = 17284125960
Therefore, the lowest common multiple of 909,635,760,394,591 is 17284125960.
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.
909 x 635 x 760 x 394 x 591 = 102149184423600
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.
909 : 1, 3, 9, 101, 303, 909
635 : 1, 5, 127, 635
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
394 : 1, 2, 197, 394
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,635,760,394,591, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
635:5x 127
760:2x 2x 2x 5x 19
394:2x 197
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 197 = 5910
Therefore, the value for common factors is 5910.
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 = 102149184423600/(1x5910)
LCM = 102149184423600/5910
LCM = 17284125960
Thus, we can understand that the LCM of 909,635,760,394,591 is 17284125960.
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FAQs on LCM of 909, 635, 760, 394, 591
1. What is the LCM of 909, 635, 760, 394, 591?
Answer: LCM of 909, 635, 760, 394, 591 is 17284125960.
2. How to calculate the LCM of 909, 635, 760, 394, 591?
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 909, 635, 760, 394, 591.
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}.