Find the LCM of 6345, 3747 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 6345, 3747. So, keep reading to learn more.
Given numbers are 6345,3747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6345,3747 is 7924905.
Find LCM of 6345,3747 with Prime Factorization
| 3 | 6345, 3747 |
| 2115, 1249 |
Multiply the prime numbers at the bottom and the left side.
3 x 2115 x 1249 = 7924905
Therefore, the lowest common multiple of 6345,3747 is 7924905.
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.
6345 x 3747 = 23774715
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.
6345 : 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
3747 : 1, 3, 1249, 3747
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6345,3747, is 3.
Now, the common factors can be found like this.
6345:3x 3x 3x 5x 47
3747:3x 1249
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 = 23774715/(3x1)
LCM = 23774715/3
LCM = 7924905
Thus, we can understand that the LCM of 6345,3747 is 7924905.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6345, 3747?
Answer: LCM of 6345, 3747 is 7924905.
2. How to calculate the LCM of 6345, 3747?
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 6345, 3747.
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}.