Find the LCM of 271, 380, 513, 255, 703 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 271, 380, 513, 255, 703. So, keep reading to learn more.
Given numbers are 271,380,513,255,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,380,513,255,703 is 1748909340.
Find LCM of 271,380,513,255,703 with Prime Factorization
3 | 271, 380, 513, 255, 703 |
5 | 271, 380, 171, 85, 703 |
19 | 271, 76, 171, 17, 703 |
271, 4, 9, 17, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 271 x 4 x 9 x 17 x 37 = 1748909340
Therefore, the lowest common multiple of 271,380,513,255,703 is 1748909340.
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.
271 x 380 x 513 x 255 x 703 = 9470344076100
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.
271 : 1, 271
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
513 : 1, 3, 9, 19, 27, 57, 171, 513
255 : 1, 3, 5, 15, 17, 51, 85, 255
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,380,513,255,703, is 1.
Now, the common factors can be found like this.
271:271
380:2x 2x 5x 19
513:3x 3x 3x 19
255:3x 5x 17
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19x 19 = 5415
Therefore, the value for common factors is 5415.
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 = 9470344076100/(1x5415)
LCM = 9470344076100/5415
LCM = 1748909340
Thus, we can understand that the LCM of 271,380,513,255,703 is 1748909340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 271, 380, 513, 255, 703?
Answer: LCM of 271, 380, 513, 255, 703 is 1748909340.
2. How to calculate the LCM of 271, 380, 513, 255, 703?
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 271, 380, 513, 255, 703.
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}.