Find the LCM of 900, 395, 927, 833, 287 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 900, 395, 927, 833, 287. So, keep reading to learn more.
Given numbers are 900,395,927,833,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,395,927,833,287 is 250112664900.
Find LCM of 900,395,927,833,287 with Prime Factorization
3 | 900, 395, 927, 833, 287 |
3 | 300, 395, 309, 833, 287 |
5 | 100, 395, 103, 833, 287 |
7 | 20, 79, 103, 833, 287 |
20, 79, 103, 119, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 20 x 79 x 103 x 119 x 41 = 250112664900
Therefore, the lowest common multiple of 900,395,927,833,287 is 250112664900.
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.
900 x 395 x 927 x 833 x 287 = 78785489443500
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.
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
395 : 1, 5, 79, 395
927 : 1, 3, 9, 103, 309, 927
833 : 1, 7, 17, 49, 119, 833
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,395,927,833,287, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
395:5x 79
927:3x 3x 103
833:7x 7x 17
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 78785489443500/(1x315)
LCM = 78785489443500/315
LCM = 250112664900
Thus, we can understand that the LCM of 900,395,927,833,287 is 250112664900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 900, 395, 927, 833, 287?
Answer: LCM of 900, 395, 927, 833, 287 is 250112664900.
2. How to calculate the LCM of 900, 395, 927, 833, 287?
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 900, 395, 927, 833, 287.
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}.