Find the LCM of 341, 381, 254, 413 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 341, 381, 254, 413. So, keep reading to learn more.
Given numbers are 341,381,254,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,381,254,413 is 107314746.
Find LCM of 341,381,254,413 with Prime Factorization
127 | 341, 381, 254, 413 |
341, 3, 2, 413 |
Multiply the prime numbers at the bottom and the left side.
127 x 341 x 3 x 2 x 413 = 107314746
Therefore, the lowest common multiple of 341,381,254,413 is 107314746.
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.
341 x 381 x 254 x 413 = 13628972742
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.
341 : 1, 11, 31, 341
381 : 1, 3, 127, 381
254 : 1, 2, 127, 254
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,381,254,413, is 1.
Now, the common factors can be found like this.
341:11x 31
381:3x 127
254:2x 127
413:7x 59
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 = 13628972742/(1x127)
LCM = 13628972742/127
LCM = 107314746
Thus, we can understand that the LCM of 341,381,254,413 is 107314746.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 381, 254, 413?
Answer: LCM of 341, 381, 254, 413 is 107314746.
2. How to calculate the LCM of 341, 381, 254, 413?
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 341, 381, 254, 413.
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}.