LCM of 7656, 3204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7656, 3204 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 7656, 3204. So, keep reading to learn more.
Given numbers are 7656,3204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7656,3204 is 2044152.
Find LCM of 7656,3204 with Prime Factorization
| 2 | 7656, 3204 |
| 2 | 3828, 1602 |
| 3 | 1914, 801 |
| 638, 267 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 638 x 267 = 2044152
Therefore, the lowest common multiple of 7656,3204 is 2044152.
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.
7656 x 3204 = 24529824
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.
7656 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656
3204 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204
12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7656,3204, is 12.
Now, the common factors can be found like this.
7656:2x 2x 2x 3x 11x 29
3204:2x 2x 3x 3x 89
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 = 24529824/(12x1)
LCM = 24529824/12
LCM = 2044152
Thus, we can understand that the LCM of 7656,3204 is 2044152.
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FAQs on LCM of 7656, 3204
1. What is the LCM of 7656, 3204?
Answer: LCM of 7656, 3204 is 2044152.
2. How to calculate the LCM of 7656, 3204?
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 7656, 3204.
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}.