Find the LCM of 559, 796, 414, 575 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 559, 796, 414, 575. So, keep reading to learn more.
Given numbers are 559,796,414,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,796,414,575 is 2302688700.
Find LCM of 559,796,414,575 with Prime Factorization
2 | 559, 796, 414, 575 |
23 | 559, 398, 207, 575 |
559, 398, 9, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 559 x 398 x 9 x 25 = 2302688700
Therefore, the lowest common multiple of 559,796,414,575 is 2302688700.
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.
559 x 796 x 414 x 575 = 105923680200
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.
559 : 1, 13, 43, 559
796 : 1, 2, 4, 199, 398, 796
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,796,414,575, is 1.
Now, the common factors can be found like this.
559:13x 43
796:2x 2x 199
414:2x 3x 3x 23
575:5x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 105923680200/(1x46)
LCM = 105923680200/46
LCM = 2302688700
Thus, we can understand that the LCM of 559,796,414,575 is 2302688700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 559, 796, 414, 575?
Answer: LCM of 559, 796, 414, 575 is 2302688700.
2. How to calculate the LCM of 559, 796, 414, 575?
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 559, 796, 414, 575.
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}.