Find the LCM of 308, 884, 823, 783, 831 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 308, 884, 823, 783, 831. So, keep reading to learn more.
Given numbers are 308,884,823,783,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,884,823,783,831 is 12150226011924.
Find LCM of 308,884,823,783,831 with Prime Factorization
2 | 308, 884, 823, 783, 831 |
2 | 154, 442, 823, 783, 831 |
3 | 77, 221, 823, 783, 831 |
77, 221, 823, 261, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 77 x 221 x 823 x 261 x 277 = 12150226011924
Therefore, the lowest common multiple of 308,884,823,783,831 is 12150226011924.
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.
308 x 884 x 823 x 783 x 831 = 145802712143088
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
823 : 1, 823
783 : 1, 3, 9, 27, 29, 87, 261, 783
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,884,823,783,831, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
884:2x 2x 13x 17
823:823
783:3x 3x 3x 29
831:3x 277
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 3 = 12
Therefore, the value for common factors is 12.
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 = 145802712143088/(1x12)
LCM = 145802712143088/12
LCM = 12150226011924
Thus, we can understand that the LCM of 308,884,823,783,831 is 12150226011924.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 884, 823, 783, 831?
Answer: LCM of 308, 884, 823, 783, 831 is 12150226011924.
2. How to calculate the LCM of 308, 884, 823, 783, 831?
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 308, 884, 823, 783, 831.
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}.