LCM of 252, 432, 384, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 432, 384, 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 252, 432, 384, 468. So, keep reading to learn more.
Given numbers are 252,432,384,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,432,384,468 is 314496.
Find LCM of 252,432,384,468 with Prime Factorization
| 2 | 252, 432, 384, 468 |
| 2 | 126, 216, 192, 234 |
| 2 | 63, 108, 96, 117 |
| 2 | 63, 54, 48, 117 |
| 3 | 63, 27, 24, 117 |
| 3 | 21, 9, 8, 39 |
| 7, 3, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 7 x 3 x 8 x 13 = 314496
Therefore, the lowest common multiple of 252,432,384,468 is 314496.
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.
252 x 432 x 384 x 468 = 19564167168
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,432,384,468, is 12.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
432:2x 2x 2x 2x 3x 3x 3
384:2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 19564167168/(12x5184)
LCM = 19564167168/62208
LCM = 314496
Thus, we can understand that the LCM of 252,432,384,468 is 314496.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 252, 432, 384, 468
1. What is the LCM of 252, 432, 384, 468?
Answer: LCM of 252, 432, 384, 468 is 314496.
2. How to calculate the LCM of 252, 432, 384, 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 252, 432, 384, 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}.