Find the LCM of 8454, 3414 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 8454, 3414. So, keep reading to learn more.
Given numbers are 8454,3414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8454,3414 is 4810326.
Find LCM of 8454,3414 with Prime Factorization
| 2 | 8454, 3414 |
| 3 | 4227, 1707 |
| 1409, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1409 x 569 = 4810326
Therefore, the lowest common multiple of 8454,3414 is 4810326.
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.
8454 x 3414 = 28861956
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.
8454 : 1, 2, 3, 6, 1409, 2818, 4227, 8454
3414 : 1, 2, 3, 6, 569, 1138, 1707, 3414
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8454,3414, is 6.
Now, the common factors can be found like this.
8454:2x 3x 1409
3414:2x 3x 569
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 = 28861956/(6x1)
LCM = 28861956/6
LCM = 4810326
Thus, we can understand that the LCM of 8454,3414 is 4810326.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8454, 3414?
Answer: LCM of 8454, 3414 is 4810326.
2. How to calculate the LCM of 8454, 3414?
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 8454, 3414.
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}.