LCM of 389, 384, 728, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 384, 728, 105 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 389, 384, 728, 105. So, keep reading to learn more.
Given numbers are 389,384,728,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,384,728,105 is 67966080.
Find LCM of 389,384,728,105 with Prime Factorization
| 2 | 389, 384, 728, 105 |
| 2 | 389, 192, 364, 105 |
| 2 | 389, 96, 182, 105 |
| 3 | 389, 48, 91, 105 |
| 7 | 389, 16, 91, 35 |
| 389, 16, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 389 x 16 x 13 x 5 = 67966080
Therefore, the lowest common multiple of 389,384,728,105 is 67966080.
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.
389 x 384 x 728 x 105 = 11418301440
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.
389 : 1, 389
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,384,728,105, is 1.
Now, the common factors can be found like this.
389:389
384:2x 2x 2x 2x 2x 2x 2x 3
728:2x 2x 2x 7x 13
105:3x 5x 7
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 11418301440/(1x168)
LCM = 11418301440/168
LCM = 67966080
Thus, we can understand that the LCM of 389,384,728,105 is 67966080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 389, 384, 728, 105
1. What is the LCM of 389, 384, 728, 105?
Answer: LCM of 389, 384, 728, 105 is 67966080.
2. How to calculate the LCM of 389, 384, 728, 105?
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 389, 384, 728, 105.
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}.