LCM of 579, 384, 508, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 384, 508, 192 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 579, 384, 508, 192. So, keep reading to learn more.
Given numbers are 579,384,508,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,384,508,192 is 9412224.
Find LCM of 579,384,508,192 with Prime Factorization
| 2 | 579, 384, 508, 192 |
| 2 | 579, 192, 254, 96 |
| 2 | 579, 48, 127, 96 |
| 2 | 579, 24, 127, 48 |
| 2 | 579, 12, 127, 24 |
| 2 | 579, 6, 127, 12 |
| 3 | 579, 3, 127, 6 |
| 193, 1, 127, 2 |
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 193 x 1 x 127 x 2 = 9412224
Therefore, the lowest common multiple of 579,384,508,192 is 9412224.
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.
579 x 384 x 508 x 192 = 21685764096
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.
579 : 1, 3, 193, 579
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
508 : 1, 2, 4, 127, 254, 508
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,384,508,192, is 1.
Now, the common factors can be found like this.
579:3x 193
384:2x 2x 2x 2x 2x 2x 2x 3
508:2x 2x 127
192:2x 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 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 21685764096/(1x2304)
LCM = 21685764096/2304
LCM = 9412224
Thus, we can understand that the LCM of 579,384,508,192 is 9412224.
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FAQs on LCM of 579, 384, 508, 192
1. What is the LCM of 579, 384, 508, 192?
Answer: LCM of 579, 384, 508, 192 is 9412224.
2. How to calculate the LCM of 579, 384, 508, 192?
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 579, 384, 508, 192.
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}.