Find the LCM of 892, 223, 309 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 892, 223, 309. So, keep reading to learn more.
Given numbers are 892,223,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,223,309 is 275628.
Find LCM of 892,223,309 with Prime Factorization
223 | 892, 223, 309 |
4, 1, 309 |
Multiply the prime numbers at the bottom and the left side.
223 x 4 x 1 x 309 = 275628
Therefore, the lowest common multiple of 892,223,309 is 275628.
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.
892 x 223 x 309 = 61465044
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.
892 : 1, 2, 4, 223, 446, 892
223 : 1, 223
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,223,309, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
223:223
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
223 = 223
Therefore, the value for common factors is 223.
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 = 61465044/(1x223)
LCM = 61465044/223
LCM = 275628
Thus, we can understand that the LCM of 892,223,309 is 275628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 223, 309?
Answer: LCM of 892, 223, 309 is 275628.
2. How to calculate the LCM of 892, 223, 309?
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 892, 223, 309.
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}.