LCM of 188, 509, 596, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 509, 596, 447 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 188, 509, 596, 447. So, keep reading to learn more.
Given numbers are 188,509,596,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,509,596,447 is 42774324.
Find LCM of 188,509,596,447 with Prime Factorization
| 2 | 188, 509, 596, 447 |
| 2 | 94, 509, 298, 447 |
| 149 | 47, 509, 149, 447 |
| 47, 509, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 149 x 47 x 509 x 1 x 3 = 42774324
Therefore, the lowest common multiple of 188,509,596,447 is 42774324.
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.
188 x 509 x 596 x 447 = 25493497104
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.
188 : 1, 2, 4, 47, 94, 188
509 : 1, 509
596 : 1, 2, 4, 149, 298, 596
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,509,596,447, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
509:509
596:2x 2x 149
447:3x 149
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 149 = 596
Therefore, the value for common factors is 596.
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 = 25493497104/(1x596)
LCM = 25493497104/596
LCM = 42774324
Thus, we can understand that the LCM of 188,509,596,447 is 42774324.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 188, 509, 596, 447
1. What is the LCM of 188, 509, 596, 447?
Answer: LCM of 188, 509, 596, 447 is 42774324.
2. How to calculate the LCM of 188, 509, 596, 447?
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 188, 509, 596, 447.
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}.