LCM of 388, 465, 248, 271, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 465, 248, 271, 864 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, 465, 248, 271, 864. So, keep reading to learn more.
Given numbers are 388,465,248,271,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,465,248,271,864 is 3520355040.
Find LCM of 388,465,248,271,864 with Prime Factorization
| 2 | 388, 465, 248, 271, 864 |
| 2 | 194, 465, 124, 271, 432 |
| 2 | 97, 465, 62, 271, 216 |
| 3 | 97, 465, 31, 271, 108 |
| 31 | 97, 155, 31, 271, 36 |
| 97, 5, 1, 271, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 97 x 5 x 1 x 271 x 36 = 3520355040
Therefore, the lowest common multiple of 388,465,248,271,864 is 3520355040.
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 465 x 248 x 271 x 864 = 10476576599040
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
465 : 1, 3, 5, 15, 31, 93, 155, 465
248 : 1, 2, 4, 8, 31, 62, 124, 248
271 : 1, 271
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,465,248,271,864, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
465:3x 5x 31
248:2x 2x 2x 31
271:271
864:2x 2x 2x 2x 2x 3x 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 3x 31 = 2976
Therefore, the value for common factors is 2976.
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 = 10476576599040/(1x2976)
LCM = 10476576599040/2976
LCM = 3520355040
Thus, we can understand that the LCM of 388,465,248,271,864 is 3520355040.
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FAQs on LCM of 388, 465, 248, 271, 864
1. What is the LCM of 388, 465, 248, 271, 864?
Answer: LCM of 388, 465, 248, 271, 864 is 3520355040.
2. How to calculate the LCM of 388, 465, 248, 271, 864?
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, 465, 248, 271, 864.
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}.