LCM of 388, 591, 806, 909, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 591, 806, 909, 676 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 388, 591, 806, 909, 676. So, keep reading to learn more.
Given numbers are 388,591,806,909,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,591,806,909,676 is 364007417436.
Find LCM of 388,591,806,909,676 with Prime Factorization
| 2 | 388, 591, 806, 909, 676 |
| 2 | 194, 591, 403, 909, 338 |
| 3 | 97, 591, 403, 909, 169 |
| 13 | 97, 197, 403, 303, 169 |
| 97, 197, 31, 303, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 97 x 197 x 31 x 303 x 13 = 364007417436
Therefore, the lowest common multiple of 388,591,806,909,676 is 364007417436.
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.
388 x 591 x 806 x 909 x 676 = 113570314240032
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.
388 : 1, 2, 4, 97, 194, 388
591 : 1, 3, 197, 591
806 : 1, 2, 13, 26, 31, 62, 403, 806
909 : 1, 3, 9, 101, 303, 909
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,591,806,909,676, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
591:3x 197
806:2x 13x 31
909:3x 3x 101
676:2x 2x 13x 13
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 113570314240032/(1x312)
LCM = 113570314240032/312
LCM = 364007417436
Thus, we can understand that the LCM of 388,591,806,909,676 is 364007417436.
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FAQs on LCM of 388, 591, 806, 909, 676
1. What is the LCM of 388, 591, 806, 909, 676?
Answer: LCM of 388, 591, 806, 909, 676 is 364007417436.
2. How to calculate the LCM of 388, 591, 806, 909, 676?
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 388, 591, 806, 909, 676.
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}.