LCM of 284, 200, 245, 811, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 200, 245, 811, 833 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, 200, 245, 811, 833. So, keep reading to learn more.
Given numbers are 284,200,245,811,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,200,245,811,833 is 9592994600.
Find LCM of 284,200,245,811,833 with Prime Factorization
| 2 | 284, 200, 245, 811, 833 |
| 2 | 142, 100, 245, 811, 833 |
| 5 | 71, 50, 245, 811, 833 |
| 7 | 71, 10, 49, 811, 833 |
| 7 | 71, 10, 7, 811, 119 |
| 71, 10, 1, 811, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 71 x 10 x 1 x 811 x 17 = 9592994600
Therefore, the lowest common multiple of 284,200,245,811,833 is 9592994600.
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 200 x 245 x 811 x 833 = 9401134708000
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
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
245 : 1, 5, 7, 35, 49, 245
811 : 1, 811
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,200,245,811,833, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
200:2x 2x 2x 5x 5
245:5x 7x 7
811:811
833:7x 7x 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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 9401134708000/(1x980)
LCM = 9401134708000/980
LCM = 9592994600
Thus, we can understand that the LCM of 284,200,245,811,833 is 9592994600.
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FAQs on LCM of 284, 200, 245, 811, 833
1. What is the LCM of 284, 200, 245, 811, 833?
Answer: LCM of 284, 200, 245, 811, 833 is 9592994600.
2. How to calculate the LCM of 284, 200, 245, 811, 833?
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, 200, 245, 811, 833.
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}.