LCM of 270, 285, 605, 415, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 285, 605, 415, 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 270, 285, 605, 415, 205. So, keep reading to learn more.
Given numbers are 270,285,605,415,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,285,605,415,205 is 2112344190.
Find LCM of 270,285,605,415,205 with Prime Factorization
| 3 | 270, 285, 605, 415, 205 |
| 5 | 90, 95, 605, 415, 205 |
| 18, 19, 121, 83, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 18 x 19 x 121 x 83 x 41 = 2112344190
Therefore, the lowest common multiple of 270,285,605,415,205 is 2112344190.
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.
270 x 285 x 605 x 415 x 205 = 3960645356250
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
285 : 1, 3, 5, 15, 19, 57, 95, 285
605 : 1, 5, 11, 55, 121, 605
415 : 1, 5, 83, 415
205 : 1, 5, 41, 205
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,285,605,415,205, is 5.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
285:3x 5x 19
605:5x 11x 11
415:5x 83
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 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 3960645356250/(5x375)
LCM = 3960645356250/1875
LCM = 2112344190
Thus, we can understand that the LCM of 270,285,605,415,205 is 2112344190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 270, 285, 605, 415, 205
1. What is the LCM of 270, 285, 605, 415, 205?
Answer: LCM of 270, 285, 605, 415, 205 is 2112344190.
2. How to calculate the LCM of 270, 285, 605, 415, 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 270, 285, 605, 415, 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}.