Find the LCM of 9381, 3068 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 9381, 3068. So, keep reading to learn more.
Given numbers are 9381,3068
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9381,3068 is 487812.
Find LCM of 9381,3068 with Prime Factorization
| 59 | 9381, 3068 |
| 159, 52 |
Multiply the prime numbers at the bottom and the left side.
59 x 159 x 52 = 487812
Therefore, the lowest common multiple of 9381,3068 is 487812.
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.
9381 x 3068 = 28780908
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.
9381 : 1, 3, 53, 59, 159, 177, 3127, 9381
3068 : 1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534, 3068
59 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9381,3068, is 59.
Now, the common factors can be found like this.
9381:3x 53x 59
3068:2x 2x 13x 59
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 = 28780908/(59x1)
LCM = 28780908/59
LCM = 487812
Thus, we can understand that the LCM of 9381,3068 is 487812.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9381, 3068?
Answer: LCM of 9381, 3068 is 487812.
2. How to calculate the LCM of 9381, 3068?
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 9381, 3068.
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}.