Find the LCM of 3077, 5967 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 3077, 5967. So, keep reading to learn more.
Given numbers are 3077,5967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3077,5967 is 1080027.
Find LCM of 3077,5967 with Prime Factorization
| 17 | 3077, 5967 |
| 181, 351 |
Multiply the prime numbers at the bottom and the left side.
17 x 181 x 351 = 1080027
Therefore, the lowest common multiple of 3077,5967 is 1080027.
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.
3077 x 5967 = 18360459
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.
3077 : 1, 17, 181, 3077
5967 : 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3077,5967, is 17.
Now, the common factors can be found like this.
3077:17x 181
5967:3x 3x 3x 13x 17
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 = 18360459/(17x1)
LCM = 18360459/17
LCM = 1080027
Thus, we can understand that the LCM of 3077,5967 is 1080027.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3077, 5967?
Answer: LCM of 3077, 5967 is 1080027.
2. How to calculate the LCM of 3077, 5967?
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 3077, 5967.
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}.