LCM of 599, 144, 861, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 144, 861, 205 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 599, 144, 861, 205. So, keep reading to learn more.
Given numbers are 599,144,861,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,144,861,205 is 123777360.
Find LCM of 599,144,861,205 with Prime Factorization
| 3 | 599, 144, 861, 205 |
| 41 | 599, 48, 287, 205 |
| 599, 48, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 599 x 48 x 7 x 5 = 123777360
Therefore, the lowest common multiple of 599,144,861,205 is 123777360.
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.
599 x 144 x 861 x 205 = 15224615280
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.
599 : 1, 599
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
861 : 1, 3, 7, 21, 41, 123, 287, 861
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,144,861,205, is 1.
Now, the common factors can be found like this.
599:599
144:2x 2x 2x 2x 3x 3
861:3x 7x 41
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 41 = 123
Therefore, the value for common factors is 123.
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 = 15224615280/(1x123)
LCM = 15224615280/123
LCM = 123777360
Thus, we can understand that the LCM of 599,144,861,205 is 123777360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 599, 144, 861, 205
1. What is the LCM of 599, 144, 861, 205?
Answer: LCM of 599, 144, 861, 205 is 123777360.
2. How to calculate the LCM of 599, 144, 861, 205?
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 599, 144, 861, 205.
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}.