Find the LCM of 591, 308, 609, 377, 308 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, 308, 609, 377, 308. So, keep reading to learn more.
Given numbers are 591,308,609,377,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,308,609,377,308 is 68624556.
Find LCM of 591,308,609,377,308 with Prime Factorization
2 | 591, 308, 609, 377, 308 |
2 | 591, 154, 609, 377, 154 |
3 | 591, 77, 609, 377, 77 |
7 | 197, 77, 203, 377, 77 |
11 | 197, 11, 29, 377, 11 |
29 | 197, 1, 29, 377, 1 |
197, 1, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 29 x 197 x 1 x 1 x 13 x 1 = 68624556
Therefore, the lowest common multiple of 591,308,609,377,308 is 68624556.
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 308 x 609 x 377 x 308 = 12872045218032
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
609 : 1, 3, 7, 21, 29, 87, 203, 609
377 : 1, 13, 29, 377
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,308,609,377,308, is 1.
Now, the common factors can be found like this.
591:3x 197
308:2x 2x 7x 11
609:3x 7x 29
377:13x 29
308:2x 2x 7x 11
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 3x 7x 7x 11x 29 = 187572
Therefore, the value for common factors is 187572.
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 = 12872045218032/(1x187572)
LCM = 12872045218032/187572
LCM = 68624556
Thus, we can understand that the LCM of 591,308,609,377,308 is 68624556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 308, 609, 377, 308?
Answer: LCM of 591, 308, 609, 377, 308 is 68624556.
2. How to calculate the LCM of 591, 308, 609, 377, 308?
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, 308, 609, 377, 308.
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}.