Find the LCM of 823, 428, 749 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, 428, 749. So, keep reading to learn more.
Given numbers are 823,428,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,428,749 is 2465708.
Find LCM of 823,428,749 with Prime Factorization
107 | 823, 428, 749 |
823, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
107 x 823 x 4 x 7 = 2465708
Therefore, the lowest common multiple of 823,428,749 is 2465708.
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 428 x 749 = 263830756
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
428 : 1, 2, 4, 107, 214, 428
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,428,749, is 1.
Now, the common factors can be found like this.
823:823
428:2x 2x 107
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 263830756/(1x107)
LCM = 263830756/107
LCM = 2465708
Thus, we can understand that the LCM of 823,428,749 is 2465708.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 823, 428, 749?
Answer: LCM of 823, 428, 749 is 2465708.
2. How to calculate the LCM of 823, 428, 749?
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, 428, 749.
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}.