LCM of 388, 960, 138, 728, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 960, 138, 728, 288 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 388, 960, 138, 728, 288. So, keep reading to learn more.
Given numbers are 388,960,138,728,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,960,138,728,288 is 584700480.
Find LCM of 388,960,138,728,288 with Prime Factorization
| 2 | 388, 960, 138, 728, 288 |
| 2 | 194, 480, 69, 364, 144 |
| 2 | 97, 240, 69, 182, 72 |
| 2 | 97, 120, 69, 91, 36 |
| 2 | 97, 60, 69, 91, 18 |
| 3 | 97, 30, 69, 91, 9 |
| 97, 10, 23, 91, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 97 x 10 x 23 x 91 x 3 = 584700480
Therefore, the lowest common multiple of 388,960,138,728,288 is 584700480.
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.
388 x 960 x 138 x 728 x 288 = 10777199247360
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.
388 : 1, 2, 4, 97, 194, 388
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
138 : 1, 2, 3, 6, 23, 46, 69, 138
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,960,138,728,288, is 2.
Now, the common factors can be found like this.
388:2x 2x 97
960:2x 2x 2x 2x 2x 2x 3x 5
138:2x 3x 23
728:2x 2x 2x 7x 13
288:2x 2x 2x 2x 2x 3x 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 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 10777199247360/(2x9216)
LCM = 10777199247360/18432
LCM = 584700480
Thus, we can understand that the LCM of 388,960,138,728,288 is 584700480.
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FAQs on LCM of 388, 960, 138, 728, 288
1. What is the LCM of 388, 960, 138, 728, 288?
Answer: LCM of 388, 960, 138, 728, 288 is 584700480.
2. How to calculate the LCM of 388, 960, 138, 728, 288?
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 388, 960, 138, 728, 288.
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}.