Find the LCM of 363, 981, 463, 597, 591 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 363, 981, 463, 597, 591. So, keep reading to learn more.
Given numbers are 363,981,463,597,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,981,463,597,591 is 2154540545289.
Find LCM of 363,981,463,597,591 with Prime Factorization
3 | 363, 981, 463, 597, 591 |
121, 327, 463, 199, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 121 x 327 x 463 x 199 x 197 = 2154540545289
Therefore, the lowest common multiple of 363,981,463,597,591 is 2154540545289.
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.
363 x 981 x 463 x 597 x 591 = 58172594722803
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.
363 : 1, 3, 11, 33, 121, 363
981 : 1, 3, 9, 109, 327, 981
463 : 1, 463
597 : 1, 3, 199, 597
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,981,463,597,591, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
981:3x 3x 109
463:463
597:3x 199
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 58172594722803/(1x27)
LCM = 58172594722803/27
LCM = 2154540545289
Thus, we can understand that the LCM of 363,981,463,597,591 is 2154540545289.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 981, 463, 597, 591?
Answer: LCM of 363, 981, 463, 597, 591 is 2154540545289.
2. How to calculate the LCM of 363, 981, 463, 597, 591?
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 363, 981, 463, 597, 591.
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}.