LCM of 255, 385, 321, 170, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 385, 321, 170, 110 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, 385, 321, 170, 110. So, keep reading to learn more.
Given numbers are 255,385,321,170,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,385,321,170,110 is 4201890.
Find LCM of 255,385,321,170,110 with Prime Factorization
| 2 | 255, 385, 321, 170, 110 |
| 3 | 255, 385, 321, 85, 55 |
| 5 | 85, 385, 107, 85, 55 |
| 11 | 17, 77, 107, 17, 11 |
| 17 | 17, 7, 107, 17, 1 |
| 1, 7, 107, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 1 x 7 x 107 x 1 x 1 = 4201890
Therefore, the lowest common multiple of 255,385,321,170,110 is 4201890.
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 385 x 321 x 170 x 110 = 589315072500
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
321 : 1, 3, 107, 321
170 : 1, 2, 5, 10, 17, 34, 85, 170
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,385,321,170,110, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
385:5x 7x 11
321:3x 107
170:2x 5x 17
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 11x 17 = 140250
Therefore, the value for common factors is 140250.
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 = 589315072500/(1x140250)
LCM = 589315072500/140250
LCM = 4201890
Thus, we can understand that the LCM of 255,385,321,170,110 is 4201890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 255, 385, 321, 170, 110
1. What is the LCM of 255, 385, 321, 170, 110?
Answer: LCM of 255, 385, 321, 170, 110 is 4201890.
2. How to calculate the LCM of 255, 385, 321, 170, 110?
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, 385, 321, 170, 110.
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}.