Find the LCM of 381, 905, 251, 508 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, 905, 251, 508. So, keep reading to learn more.
Given numbers are 381,905,251,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,905,251,508 is 346184220.
Find LCM of 381,905,251,508 with Prime Factorization
127 | 381, 905, 251, 508 |
3, 905, 251, 4 |
Multiply the prime numbers at the bottom and the left side.
127 x 3 x 905 x 251 x 4 = 346184220
Therefore, the lowest common multiple of 381,905,251,508 is 346184220.
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 905 x 251 x 508 = 43965395940
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
905 : 1, 5, 181, 905
251 : 1, 251
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,905,251,508, is 1.
Now, the common factors can be found like this.
381:3x 127
905:5x 181
251:251
508:2x 2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
127 = 127
Therefore, the value for common factors is 127.
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 = 43965395940/(1x127)
LCM = 43965395940/127
LCM = 346184220
Thus, we can understand that the LCM of 381,905,251,508 is 346184220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 905, 251, 508?
Answer: LCM of 381, 905, 251, 508 is 346184220.
2. How to calculate the LCM of 381, 905, 251, 508?
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, 905, 251, 508.
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}.