LCM of 477, 381, 996, 900, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 381, 996, 900, 912 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 477, 381, 996, 900, 912. So, keep reading to learn more.
Given numbers are 477,381,996,900,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,381,996,900,912 is 38213233200.
Find LCM of 477,381,996,900,912 with Prime Factorization
| 2 | 477, 381, 996, 900, 912 |
| 2 | 477, 381, 498, 450, 456 |
| 3 | 477, 381, 249, 225, 228 |
| 3 | 159, 127, 83, 75, 76 |
| 53, 127, 83, 25, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 53 x 127 x 83 x 25 x 76 = 38213233200
Therefore, the lowest common multiple of 477,381,996,900,912 is 38213233200.
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.
477 x 381 x 996 x 900 x 912 = 148573050681600
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.
477 : 1, 3, 9, 53, 159, 477
381 : 1, 3, 127, 381
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,381,996,900,912, is 3.
Now, the common factors can be found like this.
477:3x 3x 53
381:3x 127
996:2x 2x 3x 83
900:2x 2x 3x 3x 5x 5
912:2x 2x 2x 2x 3x 19
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 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 148573050681600/(3x1296)
LCM = 148573050681600/3888
LCM = 38213233200
Thus, we can understand that the LCM of 477,381,996,900,912 is 38213233200.
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FAQs on LCM of 477, 381, 996, 900, 912
1. What is the LCM of 477, 381, 996, 900, 912?
Answer: LCM of 477, 381, 996, 900, 912 is 38213233200.
2. How to calculate the LCM of 477, 381, 996, 900, 912?
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 477, 381, 996, 900, 912.
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}.