Find the LCM of 327, 579, 494, 463, 468 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 327, 579, 494, 463, 468. So, keep reading to learn more.
Given numbers are 327,579,494,463,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,579,494,463,468 is 86609244852.
Find LCM of 327,579,494,463,468 with Prime Factorization
2 | 327, 579, 494, 463, 468 |
3 | 327, 579, 247, 463, 234 |
13 | 109, 193, 247, 463, 78 |
109, 193, 19, 463, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 109 x 193 x 19 x 463 x 6 = 86609244852
Therefore, the lowest common multiple of 327,579,494,463,468 is 86609244852.
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.
327 x 579 x 494 x 463 x 468 = 20266563295368
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.
327 : 1, 3, 109, 327
579 : 1, 3, 193, 579
494 : 1, 2, 13, 19, 26, 38, 247, 494
463 : 1, 463
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,579,494,463,468, is 1.
Now, the common factors can be found like this.
327:3x 109
579:3x 193
494:2x 13x 19
463:463
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 20266563295368/(1x234)
LCM = 20266563295368/234
LCM = 86609244852
Thus, we can understand that the LCM of 327,579,494,463,468 is 86609244852.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 579, 494, 463, 468?
Answer: LCM of 327, 579, 494, 463, 468 is 86609244852.
2. How to calculate the LCM of 327, 579, 494, 463, 468?
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 327, 579, 494, 463, 468.
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}.