LCM of 3374, 8960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3374, 8960 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 3374, 8960. So, keep reading to learn more.
Given numbers are 3374,8960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3374,8960 is 2159360.
Find LCM of 3374,8960 with Prime Factorization
| 2 | 3374, 8960 |
| 7 | 1687, 4480 |
| 241, 640 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 241 x 640 = 2159360
Therefore, the lowest common multiple of 3374,8960 is 2159360.
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.
3374 x 8960 = 30231040
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.
3374 : 1, 2, 7, 14, 241, 482, 1687, 3374
8960 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3374,8960, is 14.
Now, the common factors can be found like this.
3374:2x 7x 241
8960:2x 2x 2x 2x 2x 2x 2x 2x 5x 7
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 = 30231040/(14x1)
LCM = 30231040/14
LCM = 2159360
Thus, we can understand that the LCM of 3374,8960 is 2159360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 3374, 8960
1. What is the LCM of 3374, 8960?
Answer: LCM of 3374, 8960 is 2159360.
2. How to calculate the LCM of 3374, 8960?
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 3374, 8960.
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}.