LCM of 233, 204, 311, 360, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 204, 311, 360, 204 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 233, 204, 311, 360, 204. So, keep reading to learn more.
Given numbers are 233,204,311,360,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,204,311,360,204 is 443473560.
Find LCM of 233,204,311,360,204 with Prime Factorization
| 2 | 233, 204, 311, 360, 204 |
| 2 | 233, 102, 311, 180, 102 |
| 3 | 233, 51, 311, 90, 51 |
| 17 | 233, 17, 311, 30, 17 |
| 233, 1, 311, 30, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 233 x 1 x 311 x 30 x 1 = 443473560
Therefore, the lowest common multiple of 233,204,311,360,204 is 443473560.
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.
233 x 204 x 311 x 360 x 204 = 1085623274880
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.
233 : 1, 233
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
311 : 1, 311
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,204,311,360,204, is 1.
Now, the common factors can be found like this.
233:233
204:2x 2x 3x 17
311:311
360:2x 2x 2x 3x 3x 5
204:2x 2x 3x 17
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 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 1085623274880/(1x2448)
LCM = 1085623274880/2448
LCM = 443473560
Thus, we can understand that the LCM of 233,204,311,360,204 is 443473560.
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FAQs on LCM of 233, 204, 311, 360, 204
1. What is the LCM of 233, 204, 311, 360, 204?
Answer: LCM of 233, 204, 311, 360, 204 is 443473560.
2. How to calculate the LCM of 233, 204, 311, 360, 204?
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 233, 204, 311, 360, 204.
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}.