Find the LCM of 255, 998, 728, 312 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, 998, 728, 312. So, keep reading to learn more.
Given numbers are 255,998,728,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,998,728,312 is 92634360.
Find LCM of 255,998,728,312 with Prime Factorization
2 | 255, 998, 728, 312 |
2 | 255, 499, 364, 156 |
2 | 255, 499, 182, 78 |
3 | 255, 499, 91, 39 |
13 | 85, 499, 91, 13 |
85, 499, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 85 x 499 x 7 x 1 = 92634360
Therefore, the lowest common multiple of 255,998,728,312 is 92634360.
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 998 x 728 x 312 = 57803840640
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
998 : 1, 2, 499, 998
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,998,728,312, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
998:2x 499
728:2x 2x 2x 7x 13
312:2x 2x 2x 3x 13
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 2x 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 57803840640/(1x624)
LCM = 57803840640/624
LCM = 92634360
Thus, we can understand that the LCM of 255,998,728,312 is 92634360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 255, 998, 728, 312?
Answer: LCM of 255, 998, 728, 312 is 92634360.
2. How to calculate the LCM of 255, 998, 728, 312?
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, 998, 728, 312.
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}.