LCM of 7616, 8656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7616, 8656 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 7616, 8656. So, keep reading to learn more.
Given numbers are 7616,8656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7616,8656 is 4120256.
Find LCM of 7616,8656 with Prime Factorization
| 2 | 7616, 8656 |
| 2 | 3808, 4328 |
| 2 | 1904, 2164 |
| 2 | 952, 1082 |
| 476, 541 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 476 x 541 = 4120256
Therefore, the lowest common multiple of 7616,8656 is 4120256.
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.
7616 x 8656 = 65924096
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.
7616 : 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808, 7616
8656 : 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656
16 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7616,8656, is 16.
Now, the common factors can be found like this.
7616:2x 2x 2x 2x 2x 2x 7x 17
8656:2x 2x 2x 2x 541
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 = 65924096/(16x1)
LCM = 65924096/16
LCM = 4120256
Thus, we can understand that the LCM of 7616,8656 is 4120256.
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FAQs on LCM of 7616, 8656
1. What is the LCM of 7616, 8656?
Answer: LCM of 7616, 8656 is 4120256.
2. How to calculate the LCM of 7616, 8656?
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 7616, 8656.
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}.