Find the LCM of 313, 280, 896, 186 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 313, 280, 896, 186. So, keep reading to learn more.
Given numbers are 313,280,896,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,280,896,186 is 130408320.
Find LCM of 313,280,896,186 with Prime Factorization
2 | 313, 280, 896, 186 |
2 | 313, 140, 448, 93 |
2 | 313, 70, 224, 93 |
7 | 313, 35, 112, 93 |
313, 5, 16, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 313 x 5 x 16 x 93 = 130408320
Therefore, the lowest common multiple of 313,280,896,186 is 130408320.
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.
313 x 280 x 896 x 186 = 14605731840
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.
313 : 1, 313
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,280,896,186, is 1.
Now, the common factors can be found like this.
313:313
280:2x 2x 2x 5x 7
896:2x 2x 2x 2x 2x 2x 2x 7
186:2x 3x 31
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 7 = 112
Therefore, the value for common factors is 112.
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 = 14605731840/(1x112)
LCM = 14605731840/112
LCM = 130408320
Thus, we can understand that the LCM of 313,280,896,186 is 130408320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 280, 896, 186?
Answer: LCM of 313, 280, 896, 186 is 130408320.
2. How to calculate the LCM of 313, 280, 896, 186?
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 313, 280, 896, 186.
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}.