LCM of 7856, 8384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7856, 8384 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 7856, 8384. So, keep reading to learn more.
Given numbers are 7856,8384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7856,8384 is 4116544.
Find LCM of 7856,8384 with Prime Factorization
| 2 | 7856, 8384 |
| 2 | 3928, 4192 |
| 2 | 1964, 2096 |
| 2 | 982, 1048 |
| 491, 524 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 491 x 524 = 4116544
Therefore, the lowest common multiple of 7856,8384 is 4116544.
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.
7856 x 8384 = 65864704
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.
7856 : 1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856
8384 : 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384
16 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7856,8384, is 16.
Now, the common factors can be found like this.
7856:2x 2x 2x 2x 491
8384:2x 2x 2x 2x 2x 2x 131
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 = 65864704/(16x1)
LCM = 65864704/16
LCM = 4116544
Thus, we can understand that the LCM of 7856,8384 is 4116544.
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FAQs on LCM of 7856, 8384
1. What is the LCM of 7856, 8384?
Answer: LCM of 7856, 8384 is 4116544.
2. How to calculate the LCM of 7856, 8384?
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 7856, 8384.
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}.