Find the LCM of 3117, 8451 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 3117, 8451. So, keep reading to learn more.
Given numbers are 3117,8451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3117,8451 is 8780589.
Find LCM of 3117,8451 with Prime Factorization
| 3 | 3117, 8451 |
| 1039, 2817 |
Multiply the prime numbers at the bottom and the left side.
3 x 1039 x 2817 = 8780589
Therefore, the lowest common multiple of 3117,8451 is 8780589.
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.
3117 x 8451 = 26341767
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.
3117 : 1, 3, 1039, 3117
8451 : 1, 3, 9, 27, 313, 939, 2817, 8451
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3117,8451, is 3.
Now, the common factors can be found like this.
3117:3x 1039
8451:3x 3x 3x 313
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 = 26341767/(3x1)
LCM = 26341767/3
LCM = 8780589
Thus, we can understand that the LCM of 3117,8451 is 8780589.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3117, 8451?
Answer: LCM of 3117, 8451 is 8780589.
2. How to calculate the LCM of 3117, 8451?
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 3117, 8451.
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}.