LCM of 400, 405, 900, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 405, 900, 257 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, 405, 900, 257. So, keep reading to learn more.
Given numbers are 400,405,900,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,405,900,257 is 8326800.
Find LCM of 400,405,900,257 with Prime Factorization
| 2 | 400, 405, 900, 257 |
| 2 | 200, 405, 450, 257 |
| 3 | 100, 405, 225, 257 |
| 3 | 100, 135, 75, 257 |
| 5 | 100, 45, 25, 257 |
| 5 | 20, 9, 5, 257 |
| 4, 9, 1, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 4 x 9 x 1 x 257 = 8326800
Therefore, the lowest common multiple of 400,405,900,257 is 8326800.
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 405 x 900 x 257 = 37470600000
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
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
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
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,405,900,257, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
405:3x 3x 3x 3x 5
900:2x 2x 3x 3x 5x 5
257:257
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 3x 3x 5x 5x 5 = 4500
Therefore, the value for common factors is 4500.
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 = 37470600000/(1x4500)
LCM = 37470600000/4500
LCM = 8326800
Thus, we can understand that the LCM of 400,405,900,257 is 8326800.
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FAQs on LCM of 400, 405, 900, 257
1. What is the LCM of 400, 405, 900, 257?
Answer: LCM of 400, 405, 900, 257 is 8326800.
2. How to calculate the LCM of 400, 405, 900, 257?
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, 405, 900, 257.
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}.