LCM of 225, 205, 303, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 205, 303, 278 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 225, 205, 303, 278. So, keep reading to learn more.
Given numbers are 225,205,303,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,205,303,278 is 259019550.
Find LCM of 225,205,303,278 with Prime Factorization
| 3 | 225, 205, 303, 278 |
| 5 | 75, 205, 101, 278 |
| 15, 41, 101, 278 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 15 x 41 x 101 x 278 = 259019550
Therefore, the lowest common multiple of 225,205,303,278 is 259019550.
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.
225 x 205 x 303 x 278 = 3885293250
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
205 : 1, 5, 41, 205
303 : 1, 3, 101, 303
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,205,303,278, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
205:5x 41
303:3x 101
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 3885293250/(1x15)
LCM = 3885293250/15
LCM = 259019550
Thus, we can understand that the LCM of 225,205,303,278 is 259019550.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 225, 205, 303, 278
1. What is the LCM of 225, 205, 303, 278?
Answer: LCM of 225, 205, 303, 278 is 259019550.
2. How to calculate the LCM of 225, 205, 303, 278?
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 225, 205, 303, 278.
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}.