Find the LCM of 6307, 5389 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 6307, 5389. So, keep reading to learn more.
Given numbers are 6307,5389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6307,5389 is 1999319.
Find LCM of 6307,5389 with Prime Factorization
| 17 | 6307, 5389 |
| 371, 317 |
Multiply the prime numbers at the bottom and the left side.
17 x 371 x 317 = 1999319
Therefore, the lowest common multiple of 6307,5389 is 1999319.
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.
6307 x 5389 = 33988423
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.
6307 : 1, 7, 17, 53, 119, 371, 901, 6307
5389 : 1, 17, 317, 5389
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6307,5389, is 17.
Now, the common factors can be found like this.
6307:7x 17x 53
5389:17x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 33988423/(17x1)
LCM = 33988423/17
LCM = 1999319
Thus, we can understand that the LCM of 6307,5389 is 1999319.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6307, 5389?
Answer: LCM of 6307, 5389 is 1999319.
2. How to calculate the LCM of 6307, 5389?
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 6307, 5389.
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}.