Find the LCM of 824, 892, 481, 888 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 824, 892, 481, 888. So, keep reading to learn more.
Given numbers are 824,892,481,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,892,481,888 is 265154136.
Find LCM of 824,892,481,888 with Prime Factorization
2 | 824, 892, 481, 888 |
2 | 412, 446, 481, 444 |
2 | 206, 223, 481, 222 |
37 | 103, 223, 481, 111 |
103, 223, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 103 x 223 x 13 x 3 = 265154136
Therefore, the lowest common multiple of 824,892,481,888 is 265154136.
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.
824 x 892 x 481 x 888 = 313942497024
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
892 : 1, 2, 4, 223, 446, 892
481 : 1, 13, 37, 481
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,892,481,888, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
892:2x 2x 223
481:13x 37
888:2x 2x 2x 3x 37
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 2x 2x 2x 37 = 1184
Therefore, the value for common factors is 1184.
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 = 313942497024/(1x1184)
LCM = 313942497024/1184
LCM = 265154136
Thus, we can understand that the LCM of 824,892,481,888 is 265154136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 892, 481, 888?
Answer: LCM of 824, 892, 481, 888 is 265154136.
2. How to calculate the LCM of 824, 892, 481, 888?
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 824, 892, 481, 888.
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}.