LCM of 255, 915, 465, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 915, 465, 855 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 255, 915, 465, 855. So, keep reading to learn more.
Given numbers are 255,915,465,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,915,465,855 is 27485685.
Find LCM of 255,915,465,855 with Prime Factorization
| 3 | 255, 915, 465, 855 |
| 5 | 85, 305, 155, 285 |
| 17, 61, 31, 57 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 61 x 31 x 57 = 27485685
Therefore, the lowest common multiple of 255,915,465,855 is 27485685.
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.
255 x 915 x 465 x 855 = 92764186875
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
915 : 1, 3, 5, 15, 61, 183, 305, 915
465 : 1, 3, 5, 15, 31, 93, 155, 465
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,915,465,855, is 15.
Now, the common factors can be found like this.
255:3x 5x 17
915:3x 5x 61
465:3x 5x 31
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 92764186875/(15x225)
LCM = 92764186875/3375
LCM = 27485685
Thus, we can understand that the LCM of 255,915,465,855 is 27485685.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 255, 915, 465, 855
1. What is the LCM of 255, 915, 465, 855?
Answer: LCM of 255, 915, 465, 855 is 27485685.
2. How to calculate the LCM of 255, 915, 465, 855?
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 255, 915, 465, 855.
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}.