Find the LCM of 591, 245, 296, 480 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, 245, 296, 480. So, keep reading to learn more.
Given numbers are 591,245,296,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,245,296,480 is 171437280.
Find LCM of 591,245,296,480 with Prime Factorization
2 | 591, 245, 296, 480 |
2 | 591, 245, 148, 240 |
2 | 591, 245, 74, 120 |
3 | 591, 245, 37, 60 |
5 | 197, 245, 37, 20 |
197, 49, 37, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 197 x 49 x 37 x 4 = 171437280
Therefore, the lowest common multiple of 591,245,296,480 is 171437280.
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 245 x 296 x 480 = 20572473600
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
245 : 1, 5, 7, 35, 49, 245
296 : 1, 2, 4, 8, 37, 74, 148, 296
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,245,296,480, is 1.
Now, the common factors can be found like this.
591:3x 197
245:5x 7x 7
296:2x 2x 2x 37
480:2x 2x 2x 2x 2x 3x 5
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 5 = 120
Therefore, the value for common factors is 120.
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 = 20572473600/(1x120)
LCM = 20572473600/120
LCM = 171437280
Thus, we can understand that the LCM of 591,245,296,480 is 171437280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 245, 296, 480?
Answer: LCM of 591, 245, 296, 480 is 171437280.
2. How to calculate the LCM of 591, 245, 296, 480?
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, 245, 296, 480.
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}.