Find the LCM of 823, 849, 949, 566 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 823, 849, 949, 566. So, keep reading to learn more.
Given numbers are 823,849,949,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,849,949,566 is 1326183846.
Find LCM of 823,849,949,566 with Prime Factorization
283 | 823, 849, 949, 566 |
823, 3, 949, 2 |
Multiply the prime numbers at the bottom and the left side.
283 x 823 x 3 x 949 x 2 = 1326183846
Therefore, the lowest common multiple of 823,849,949,566 is 1326183846.
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.
823 x 849 x 949 x 566 = 375310028418
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.
823 : 1, 823
849 : 1, 3, 283, 849
949 : 1, 13, 73, 949
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,849,949,566, is 1.
Now, the common factors can be found like this.
823:823
849:3x 283
949:13x 73
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
283 = 283
Therefore, the value for common factors is 283.
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 = 375310028418/(1x283)
LCM = 375310028418/283
LCM = 1326183846
Thus, we can understand that the LCM of 823,849,949,566 is 1326183846.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 823, 849, 949, 566?
Answer: LCM of 823, 849, 949, 566 is 1326183846.
2. How to calculate the LCM of 823, 849, 949, 566?
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 823, 849, 949, 566.
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}.