LCM of 6848, 8672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6848, 8672 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 6848, 8672. So, keep reading to learn more.
Given numbers are 6848,8672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6848,8672 is 1855808.
Find LCM of 6848,8672 with Prime Factorization
| 2 | 6848, 8672 |
| 2 | 3424, 4336 |
| 2 | 1712, 2168 |
| 2 | 856, 1084 |
| 2 | 428, 542 |
| 214, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 214 x 271 = 1855808
Therefore, the lowest common multiple of 6848,8672 is 1855808.
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.
6848 x 8672 = 59385856
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.
6848 : 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
8672 : 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672
32 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6848,8672, is 32.
Now, the common factors can be found like this.
6848:2x 2x 2x 2x 2x 2x 107
8672:2x 2x 2x 2x 2x 271
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 = 59385856/(32x1)
LCM = 59385856/32
LCM = 1855808
Thus, we can understand that the LCM of 6848,8672 is 1855808.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 6848, 8672
1. What is the LCM of 6848, 8672?
Answer: LCM of 6848, 8672 is 1855808.
2. How to calculate the LCM of 6848, 8672?
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 6848, 8672.
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}.