LCM of 381, 808, 997, 508, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 808, 997, 508, 664 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 381, 808, 997, 508, 664. So, keep reading to learn more.
Given numbers are 381,808,997,508,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,808,997,508,664 is 25474729848.
Find LCM of 381,808,997,508,664 with Prime Factorization
| 2 | 381, 808, 997, 508, 664 |
| 2 | 381, 404, 997, 254, 332 |
| 2 | 381, 202, 997, 127, 166 |
| 127 | 381, 101, 997, 127, 83 |
| 3, 101, 997, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 127 x 3 x 101 x 997 x 1 x 83 = 25474729848
Therefore, the lowest common multiple of 381,808,997,508,664 is 25474729848.
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.
381 x 808 x 997 x 508 x 664 = 103529302102272
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.
381 : 1, 3, 127, 381
808 : 1, 2, 4, 8, 101, 202, 404, 808
997 : 1, 997
508 : 1, 2, 4, 127, 254, 508
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,808,997,508,664, is 1.
Now, the common factors can be found like this.
381:3x 127
808:2x 2x 2x 101
997:997
508:2x 2x 127
664:2x 2x 2x 83
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 127 = 4064
Therefore, the value for common factors is 4064.
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 = 103529302102272/(1x4064)
LCM = 103529302102272/4064
LCM = 25474729848
Thus, we can understand that the LCM of 381,808,997,508,664 is 25474729848.
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FAQs on LCM of 381, 808, 997, 508, 664
1. What is the LCM of 381, 808, 997, 508, 664?
Answer: LCM of 381, 808, 997, 508, 664 is 25474729848.
2. How to calculate the LCM of 381, 808, 997, 508, 664?
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 381, 808, 997, 508, 664.
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}.