LCM of 329, 192, 384, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 192, 384, 516 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 329, 192, 384, 516. So, keep reading to learn more.
Given numbers are 329,192,384,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,192,384,516 is 5432448.
Find LCM of 329,192,384,516 with Prime Factorization
| 2 | 329, 192, 384, 516 |
| 2 | 329, 96, 192, 258 |
| 2 | 329, 48, 96, 129 |
| 2 | 329, 24, 48, 129 |
| 2 | 329, 12, 24, 129 |
| 2 | 329, 6, 12, 129 |
| 3 | 329, 3, 6, 129 |
| 329, 1, 2, 43 |
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 329 x 1 x 2 x 43 = 5432448
Therefore, the lowest common multiple of 329,192,384,516 is 5432448.
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.
329 x 192 x 384 x 516 = 12516360192
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.
329 : 1, 7, 47, 329
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,192,384,516, is 1.
Now, the common factors can be found like this.
329:7x 47
192:2x 2x 2x 2x 2x 2x 3
384:2x 2x 2x 2x 2x 2x 2x 3
516:2x 2x 3x 43
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 = 12516360192/(1x2304)
LCM = 12516360192/2304
LCM = 5432448
Thus, we can understand that the LCM of 329,192,384,516 is 5432448.
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FAQs on LCM of 329, 192, 384, 516
1. What is the LCM of 329, 192, 384, 516?
Answer: LCM of 329, 192, 384, 516 is 5432448.
2. How to calculate the LCM of 329, 192, 384, 516?
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 329, 192, 384, 516.
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}.