LCM of 7748, 8144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7748, 8144 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 7748, 8144. So, keep reading to learn more.
Given numbers are 7748,8144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7748,8144 is 15774928.
Find LCM of 7748,8144 with Prime Factorization
| 2 | 7748, 8144 |
| 2 | 3874, 4072 |
| 1937, 2036 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 1937 x 2036 = 15774928
Therefore, the lowest common multiple of 7748,8144 is 15774928.
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.
7748 x 8144 = 63099712
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.
7748 : 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748
8144 : 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7748,8144, is 4.
Now, the common factors can be found like this.
7748:2x 2x 13x 149
8144:2x 2x 2x 2x 509
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 = 63099712/(4x1)
LCM = 63099712/4
LCM = 15774928
Thus, we can understand that the LCM of 7748,8144 is 15774928.
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FAQs on LCM of 7748, 8144
1. What is the LCM of 7748, 8144?
Answer: LCM of 7748, 8144 is 15774928.
2. How to calculate the LCM of 7748, 8144?
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 7748, 8144.
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}.