LCM of 400, 496, 311, 186, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 496, 311, 186, 225 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 400, 496, 311, 186, 225. So, keep reading to learn more.
Given numbers are 400,496,311,186,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,496,311,186,225 is 34707600.
Find LCM of 400,496,311,186,225 with Prime Factorization
| 2 | 400, 496, 311, 186, 225 |
| 2 | 200, 248, 311, 93, 225 |
| 2 | 100, 124, 311, 93, 225 |
| 2 | 50, 62, 311, 93, 225 |
| 3 | 25, 31, 311, 93, 225 |
| 5 | 25, 31, 311, 31, 75 |
| 5 | 5, 31, 311, 31, 15 |
| 31 | 1, 31, 311, 31, 3 |
| 1, 1, 311, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 31 x 1 x 1 x 311 x 1 x 3 = 34707600
Therefore, the lowest common multiple of 400,496,311,186,225 is 34707600.
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.
400 x 496 x 311 x 186 x 225 = 2582245440000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
311 : 1, 311
186 : 1, 2, 3, 6, 31, 62, 93, 186
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,496,311,186,225, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
496:2x 2x 2x 2x 31
311:311
186:2x 3x 31
225:3x 3x 5x 5
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 3x 5x 5x 31 = 74400
Therefore, the value for common factors is 74400.
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 = 2582245440000/(1x74400)
LCM = 2582245440000/74400
LCM = 34707600
Thus, we can understand that the LCM of 400,496,311,186,225 is 34707600.
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FAQs on LCM of 400, 496, 311, 186, 225
1. What is the LCM of 400, 496, 311, 186, 225?
Answer: LCM of 400, 496, 311, 186, 225 is 34707600.
2. How to calculate the LCM of 400, 496, 311, 186, 225?
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 400, 496, 311, 186, 225.
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}.