LCM of 255, 288, 442, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 288, 442, 257 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, 288, 442, 257. So, keep reading to learn more.
Given numbers are 255,288,442,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,288,442,257 is 81787680.
Find LCM of 255,288,442,257 with Prime Factorization
| 2 | 255, 288, 442, 257 |
| 3 | 255, 144, 221, 257 |
| 17 | 85, 48, 221, 257 |
| 5, 48, 13, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 5 x 48 x 13 x 257 = 81787680
Therefore, the lowest common multiple of 255,288,442,257 is 81787680.
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 288 x 442 x 257 = 8342343360
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
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
442 : 1, 2, 13, 17, 26, 34, 221, 442
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,288,442,257, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
288:2x 2x 2x 2x 2x 3x 3
442:2x 13x 17
257:257
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 17 = 102
Therefore, the value for common factors is 102.
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 = 8342343360/(1x102)
LCM = 8342343360/102
LCM = 81787680
Thus, we can understand that the LCM of 255,288,442,257 is 81787680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 255, 288, 442, 257
1. What is the LCM of 255, 288, 442, 257?
Answer: LCM of 255, 288, 442, 257 is 81787680.
2. How to calculate the LCM of 255, 288, 442, 257?
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, 288, 442, 257.
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}.