Find the LCM of 361, 731, 592, 393, 381 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 361, 731, 592, 393, 381. So, keep reading to learn more.
Given numbers are 361,731,592,393,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,731,592,393,381 is 7797269710992.
Find LCM of 361,731,592,393,381 with Prime Factorization
3 | 361, 731, 592, 393, 381 |
361, 731, 592, 131, 127 |
Multiply the prime numbers at the bottom and the left side.
3 x 361 x 731 x 592 x 131 x 127 = 7797269710992
Therefore, the lowest common multiple of 361,731,592,393,381 is 7797269710992.
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.
361 x 731 x 592 x 393 x 381 = 23391809132976
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.
361 : 1, 19, 361
731 : 1, 17, 43, 731
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
393 : 1, 3, 131, 393
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,731,592,393,381, is 1.
Now, the common factors can be found like this.
361:19x 19
731:17x 43
592:2x 2x 2x 2x 37
393:3x 131
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 23391809132976/(1x3)
LCM = 23391809132976/3
LCM = 7797269710992
Thus, we can understand that the LCM of 361,731,592,393,381 is 7797269710992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 731, 592, 393, 381?
Answer: LCM of 361, 731, 592, 393, 381 is 7797269710992.
2. How to calculate the LCM of 361, 731, 592, 393, 381?
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 361, 731, 592, 393, 381.
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}.