Find the LCM of 591, 914, 694, 906, 590 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, 914, 694, 906, 590. So, keep reading to learn more.
Given numbers are 591,914,694,906,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,914,694,906,590 is 8349531638010.
Find LCM of 591,914,694,906,590 with Prime Factorization
2 | 591, 914, 694, 906, 590 |
3 | 591, 457, 347, 453, 295 |
197, 457, 347, 151, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 457 x 347 x 151 x 295 = 8349531638010
Therefore, the lowest common multiple of 591,914,694,906,590 is 8349531638010.
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 914 x 694 x 906 x 590 = 200388759312240
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
914 : 1, 2, 457, 914
694 : 1, 2, 347, 694
906 : 1, 2, 3, 6, 151, 302, 453, 906
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,914,694,906,590, is 1.
Now, the common factors can be found like this.
591:3x 197
914:2x 457
694:2x 347
906:2x 3x 151
590:2x 5x 59
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 3 = 24
Therefore, the value for common factors is 24.
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 = 200388759312240/(1x24)
LCM = 200388759312240/24
LCM = 8349531638010
Thus, we can understand that the LCM of 591,914,694,906,590 is 8349531638010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 914, 694, 906, 590?
Answer: LCM of 591, 914, 694, 906, 590 is 8349531638010.
2. How to calculate the LCM of 591, 914, 694, 906, 590?
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, 914, 694, 906, 590.
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}.