LCM of 346, 558, 990, 135, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 558, 990, 135, 255 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 346, 558, 990, 135, 255. So, keep reading to learn more.
Given numbers are 346,558,990,135,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,558,990,135,255 is 270777870.
Find LCM of 346,558,990,135,255 with Prime Factorization
| 2 | 346, 558, 990, 135, 255 |
| 3 | 173, 279, 495, 135, 255 |
| 3 | 173, 93, 165, 45, 85 |
| 5 | 173, 31, 55, 15, 85 |
| 173, 31, 11, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 173 x 31 x 11 x 3 x 17 = 270777870
Therefore, the lowest common multiple of 346,558,990,135,255 is 270777870.
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.
346 x 558 x 990 x 135 x 255 = 6579902241000
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.
346 : 1, 2, 173, 346
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
135 : 1, 3, 5, 9, 15, 27, 45, 135
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,558,990,135,255, is 1.
Now, the common factors can be found like this.
346:2x 173
558:2x 3x 3x 31
990:2x 3x 3x 5x 11
135:3x 3x 3x 5
255:3x 5x 17
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 3x 3x 3x 3x 3x 5x 5 = 24300
Therefore, the value for common factors is 24300.
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 = 6579902241000/(1x24300)
LCM = 6579902241000/24300
LCM = 270777870
Thus, we can understand that the LCM of 346,558,990,135,255 is 270777870.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 346, 558, 990, 135, 255
1. What is the LCM of 346, 558, 990, 135, 255?
Answer: LCM of 346, 558, 990, 135, 255 is 270777870.
2. How to calculate the LCM of 346, 558, 990, 135, 255?
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 346, 558, 990, 135, 255.
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}.