LCM of 388, 704, 872, 512, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 704, 872, 512, 473 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, 704, 872, 512, 473. So, keep reading to learn more.
Given numbers are 388,704,872,512,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,704,872,512,473 is 2560526848.
Find LCM of 388,704,872,512,473 with Prime Factorization
| 2 | 388, 704, 872, 512, 473 |
| 2 | 194, 352, 436, 256, 473 |
| 2 | 97, 176, 218, 128, 473 |
| 2 | 97, 88, 109, 64, 473 |
| 2 | 97, 44, 109, 32, 473 |
| 2 | 97, 22, 109, 16, 473 |
| 11 | 97, 11, 109, 8, 473 |
| 97, 1, 109, 8, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 11 x 97 x 1 x 109 x 8 x 43 = 2560526848
Therefore, the lowest common multiple of 388,704,872,512,473 is 2560526848.
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 704 x 872 x 512 x 473 = 57683548831744
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
872 : 1, 2, 4, 8, 109, 218, 436, 872
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,704,872,512,473, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
704:2x 2x 2x 2x 2x 2x 11
872:2x 2x 2x 109
512:2x 2x 2x 2x 2x 2x 2x 2x 2
473:11x 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 2x 2x 2x 11 = 22528
Therefore, the value for common factors is 22528.
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 = 57683548831744/(1x22528)
LCM = 57683548831744/22528
LCM = 2560526848
Thus, we can understand that the LCM of 388,704,872,512,473 is 2560526848.
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FAQs on LCM of 388, 704, 872, 512, 473
1. What is the LCM of 388, 704, 872, 512, 473?
Answer: LCM of 388, 704, 872, 512, 473 is 2560526848.
2. How to calculate the LCM of 388, 704, 872, 512, 473?
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, 704, 872, 512, 473.
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}.