Find the LCM of 582, 558, 958, 348, 609 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 582, 558, 958, 348, 609. So, keep reading to learn more.
Given numbers are 582,558,958,348,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,558,958,348,609 is 10526099724.
Find LCM of 582,558,958,348,609 with Prime Factorization
2 | 582, 558, 958, 348, 609 |
3 | 291, 279, 479, 174, 609 |
29 | 97, 93, 479, 58, 203 |
97, 93, 479, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 97 x 93 x 479 x 2 x 7 = 10526099724
Therefore, the lowest common multiple of 582,558,958,348,609 is 10526099724.
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.
582 x 558 x 958 x 348 x 609 = 65935488671136
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
958 : 1, 2, 479, 958
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,558,958,348,609, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
558:2x 3x 3x 31
958:2x 479
348:2x 2x 3x 29
609:3x 7x 29
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 3x 3x 29 = 6264
Therefore, the value for common factors is 6264.
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 = 65935488671136/(1x6264)
LCM = 65935488671136/6264
LCM = 10526099724
Thus, we can understand that the LCM of 582,558,958,348,609 is 10526099724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 558, 958, 348, 609?
Answer: LCM of 582, 558, 958, 348, 609 is 10526099724.
2. How to calculate the LCM of 582, 558, 958, 348, 609?
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 582, 558, 958, 348, 609.
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}.