Find the LCM of 541, 381, 401, 635 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 541, 381, 401, 635. So, keep reading to learn more.
Given numbers are 541,381,401,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,381,401,635 is 413272605.
Find LCM of 541,381,401,635 with Prime Factorization
127 | 541, 381, 401, 635 |
541, 3, 401, 5 |
Multiply the prime numbers at the bottom and the left side.
127 x 541 x 3 x 401 x 5 = 413272605
Therefore, the lowest common multiple of 541,381,401,635 is 413272605.
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.
541 x 381 x 401 x 635 = 52485620835
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.
541 : 1, 541
381 : 1, 3, 127, 381
401 : 1, 401
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,381,401,635, is 1.
Now, the common factors can be found like this.
541:541
381:3x 127
401:401
635:5x 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 = 52485620835/(1x127)
LCM = 52485620835/127
LCM = 413272605
Thus, we can understand that the LCM of 541,381,401,635 is 413272605.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 541, 381, 401, 635?
Answer: LCM of 541, 381, 401, 635 is 413272605.
2. How to calculate the LCM of 541, 381, 401, 635?
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 541, 381, 401, 635.
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}.