LCM of 484, 825, 500, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 825, 500, 996 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 484, 825, 500, 996. So, keep reading to learn more.
Given numbers are 484,825,500,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,825,500,996 is 15064500.
Find LCM of 484,825,500,996 with Prime Factorization
| 2 | 484, 825, 500, 996 |
| 2 | 242, 825, 250, 498 |
| 3 | 121, 825, 125, 249 |
| 5 | 121, 275, 125, 83 |
| 5 | 121, 55, 25, 83 |
| 11 | 121, 11, 5, 83 |
| 1, 11, 5, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 11 x 1 x 11 x 5 x 83 = 15064500
Therefore, the lowest common multiple of 484,825,500,996 is 15064500.
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.
484 x 825 x 500 x 996 = 198851400000
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,825,500,996, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
825:3x 5x 5x 11
500:2x 2x 5x 5x 5
996:2x 2x 3x 83
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 5x 5x 11 = 13200
Therefore, the value for common factors is 13200.
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 = 198851400000/(1x13200)
LCM = 198851400000/13200
LCM = 15064500
Thus, we can understand that the LCM of 484,825,500,996 is 15064500.
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FAQs on LCM of 484, 825, 500, 996
1. What is the LCM of 484, 825, 500, 996?
Answer: LCM of 484, 825, 500, 996 is 15064500.
2. How to calculate the LCM of 484, 825, 500, 996?
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 484, 825, 500, 996.
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}.