Find the LCM of 1048, 7688 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 1048, 7688. So, keep reading to learn more.
Given numbers are 1048,7688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1048,7688 is 1007128.
Find LCM of 1048,7688 with Prime Factorization
| 2 | 1048, 7688 |
| 2 | 524, 3844 |
| 2 | 262, 1922 |
| 131, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 131 x 961 = 1007128
Therefore, the lowest common multiple of 1048,7688 is 1007128.
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.
1048 x 7688 = 8057024
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.
1048 : 1, 2, 4, 8, 131, 262, 524, 1048
7688 : 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1048,7688, is 8.
Now, the common factors can be found like this.
1048:2x 2x 2x 131
7688:2x 2x 2x 31x 31
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 = 8057024/(8x1)
LCM = 8057024/8
LCM = 1007128
Thus, we can understand that the LCM of 1048,7688 is 1007128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1048, 7688?
Answer: LCM of 1048, 7688 is 1007128.
2. How to calculate the LCM of 1048, 7688?
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 1048, 7688.
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}.