Find the LCM of 857, 896, 385, 928, 230 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 857, 896, 385, 928, 230. So, keep reading to learn more.
Given numbers are 857,896,385,928,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,896,385,928,230 is 28169384320.
Find LCM of 857,896,385,928,230 with Prime Factorization
2 | 857, 896, 385, 928, 230 |
2 | 857, 448, 385, 464, 115 |
2 | 857, 224, 385, 232, 115 |
2 | 857, 112, 385, 116, 115 |
2 | 857, 56, 385, 58, 115 |
5 | 857, 28, 385, 29, 115 |
7 | 857, 28, 77, 29, 23 |
857, 4, 11, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 7 x 857 x 4 x 11 x 29 x 23 = 28169384320
Therefore, the lowest common multiple of 857,896,385,928,230 is 28169384320.
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.
857 x 896 x 385 x 928 x 230 = 63099420876800
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.
857 : 1, 857
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
385 : 1, 5, 7, 11, 35, 55, 77, 385
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,896,385,928,230, is 1.
Now, the common factors can be found like this.
857:857
896:2x 2x 2x 2x 2x 2x 2x 7
385:5x 7x 11
928:2x 2x 2x 2x 2x 29
230:2x 5x 23
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 2x 2x 5x 7 = 2240
Therefore, the value for common factors is 2240.
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 = 63099420876800/(1x2240)
LCM = 63099420876800/2240
LCM = 28169384320
Thus, we can understand that the LCM of 857,896,385,928,230 is 28169384320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 857, 896, 385, 928, 230?
Answer: LCM of 857, 896, 385, 928, 230 is 28169384320.
2. How to calculate the LCM of 857, 896, 385, 928, 230?
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 857, 896, 385, 928, 230.
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}.