Find the LCM of 591, 788, 726, 300, 678 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 591, 788, 726, 300, 678. So, keep reading to learn more.
Given numbers are 591,788,726,300,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,788,726,300,678 is 808074300.
Find LCM of 591,788,726,300,678 with Prime Factorization
2 | 591, 788, 726, 300, 678 |
2 | 591, 394, 363, 150, 339 |
3 | 591, 197, 363, 75, 339 |
197 | 197, 197, 121, 25, 113 |
1, 1, 121, 25, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 197 x 1 x 1 x 121 x 25 x 113 = 808074300
Therefore, the lowest common multiple of 591,788,726,300,678 is 808074300.
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.
591 x 788 x 726 x 300 x 678 = 68770355227200
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.
591 : 1, 3, 197, 591
788 : 1, 2, 4, 197, 394, 788
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,788,726,300,678, is 1.
Now, the common factors can be found like this.
591:3x 197
788:2x 2x 197
726:2x 3x 11x 11
300:2x 2x 3x 5x 5
678:2x 3x 113
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 3x 3x 3x 197 = 85104
Therefore, the value for common factors is 85104.
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 = 68770355227200/(1x85104)
LCM = 68770355227200/85104
LCM = 808074300
Thus, we can understand that the LCM of 591,788,726,300,678 is 808074300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 788, 726, 300, 678?
Answer: LCM of 591, 788, 726, 300, 678 is 808074300.
2. How to calculate the LCM of 591, 788, 726, 300, 678?
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 591, 788, 726, 300, 678.
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}.