LCM of 284, 205, 504, 949, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 205, 504, 949, 450 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 284, 205, 504, 949, 450. So, keep reading to learn more.
Given numbers are 284,205,504,949,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,205,504,949,450 is 34807991400.
Find LCM of 284,205,504,949,450 with Prime Factorization
| 2 | 284, 205, 504, 949, 450 |
| 2 | 142, 205, 252, 949, 225 |
| 3 | 71, 205, 126, 949, 225 |
| 3 | 71, 205, 42, 949, 75 |
| 5 | 71, 205, 14, 949, 25 |
| 71, 41, 14, 949, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 71 x 41 x 14 x 949 x 5 = 34807991400
Therefore, the lowest common multiple of 284,205,504,949,450 is 34807991400.
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.
284 x 205 x 504 x 949 x 450 = 12530876904000
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.
284 : 1, 2, 4, 71, 142, 284
205 : 1, 5, 41, 205
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
949 : 1, 13, 73, 949
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,205,504,949,450, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
205:5x 41
504:2x 2x 2x 3x 3x 7
949:13x 73
450:2x 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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 12530876904000/(1x360)
LCM = 12530876904000/360
LCM = 34807991400
Thus, we can understand that the LCM of 284,205,504,949,450 is 34807991400.
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FAQs on LCM of 284, 205, 504, 949, 450
1. What is the LCM of 284, 205, 504, 949, 450?
Answer: LCM of 284, 205, 504, 949, 450 is 34807991400.
2. How to calculate the LCM of 284, 205, 504, 949, 450?
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 284, 205, 504, 949, 450.
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}.