Find the LCM of 7064, 1284 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 7064, 1284. So, keep reading to learn more.
Given numbers are 7064,1284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7064,1284 is 2267544.
Find LCM of 7064,1284 with Prime Factorization
| 2 | 7064, 1284 |
| 2 | 3532, 642 |
| 1766, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 1766 x 321 = 2267544
Therefore, the lowest common multiple of 7064,1284 is 2267544.
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.
7064 x 1284 = 9070176
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.
7064 : 1, 2, 4, 8, 883, 1766, 3532, 7064
1284 : 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7064,1284, is 4.
Now, the common factors can be found like this.
7064:2x 2x 2x 883
1284:2x 2x 3x 107
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 = 9070176/(4x1)
LCM = 9070176/4
LCM = 2267544
Thus, we can understand that the LCM of 7064,1284 is 2267544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 7064, 1284?
Answer: LCM of 7064, 1284 is 2267544.
2. How to calculate the LCM of 7064, 1284?
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 7064, 1284.
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}.