LCM of 192, 428, 656, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 428, 656, 768 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 192, 428, 656, 768. So, keep reading to learn more.
Given numbers are 192,428,656,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,428,656,768 is 3369216.
Find LCM of 192,428,656,768 with Prime Factorization
| 2 | 192, 428, 656, 768 |
| 2 | 96, 214, 328, 384 |
| 2 | 48, 107, 164, 192 |
| 2 | 24, 107, 82, 96 |
| 2 | 12, 107, 41, 48 |
| 2 | 6, 107, 41, 24 |
| 3 | 3, 107, 41, 12 |
| 1, 107, 41, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 107 x 41 x 4 = 3369216
Therefore, the lowest common multiple of 192,428,656,768 is 3369216.
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.
192 x 428 x 656 x 768 = 41400926208
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
428 : 1, 2, 4, 107, 214, 428
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,428,656,768, is 4.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
428:2x 2x 107
656:2x 2x 2x 2x 41
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 3 = 3072
Therefore, the value for common factors is 3072.
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 = 41400926208/(4x3072)
LCM = 41400926208/12288
LCM = 3369216
Thus, we can understand that the LCM of 192,428,656,768 is 3369216.
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FAQs on LCM of 192, 428, 656, 768
1. What is the LCM of 192, 428, 656, 768?
Answer: LCM of 192, 428, 656, 768 is 3369216.
2. How to calculate the LCM of 192, 428, 656, 768?
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 192, 428, 656, 768.
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}.