LCM of 468, 504, 591, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 504, 591, 399 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 468, 504, 591, 399. So, keep reading to learn more.
Given numbers are 468,504,591,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,504,591,399 is 24524136.
Find LCM of 468,504,591,399 with Prime Factorization
| 2 | 468, 504, 591, 399 |
| 2 | 234, 252, 591, 399 |
| 3 | 117, 126, 591, 399 |
| 3 | 39, 42, 197, 133 |
| 7 | 13, 14, 197, 133 |
| 13, 2, 197, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 2 x 197 x 19 = 24524136
Therefore, the lowest common multiple of 468,504,591,399 is 24524136.
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.
468 x 504 x 591 x 399 = 55620740448
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
591 : 1, 3, 197, 591
399 : 1, 3, 7, 19, 21, 57, 133, 399
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,504,591,399, is 3.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
504:2x 2x 2x 3x 3x 7
591:3x 197
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 55620740448/(3x756)
LCM = 55620740448/2268
LCM = 24524136
Thus, we can understand that the LCM of 468,504,591,399 is 24524136.
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FAQs on LCM of 468, 504, 591, 399
1. What is the LCM of 468, 504, 591, 399?
Answer: LCM of 468, 504, 591, 399 is 24524136.
2. How to calculate the LCM of 468, 504, 591, 399?
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 468, 504, 591, 399.
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}.