Find the LCM of 381, 635, 493, 371 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, 635, 493, 371. So, keep reading to learn more.
Given numbers are 381,635,493,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,635,493,371 is 348430215.
Find LCM of 381,635,493,371 with Prime Factorization
127 | 381, 635, 493, 371 |
3, 5, 493, 371 |
Multiply the prime numbers at the bottom and the left side.
127 x 3 x 5 x 493 x 371 = 348430215
Therefore, the lowest common multiple of 381,635,493,371 is 348430215.
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 635 x 493 x 371 = 44250637305
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
635 : 1, 5, 127, 635
493 : 1, 17, 29, 493
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,635,493,371, is 1.
Now, the common factors can be found like this.
381:3x 127
635:5x 127
493:17x 29
371:7x 53
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 = 44250637305/(1x127)
LCM = 44250637305/127
LCM = 348430215
Thus, we can understand that the LCM of 381,635,493,371 is 348430215.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 635, 493, 371?
Answer: LCM of 381, 635, 493, 371 is 348430215.
2. How to calculate the LCM of 381, 635, 493, 371?
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, 635, 493, 371.
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}.