Find the LCM of 348, 111, 933, 444, 777 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 348, 111, 933, 444, 777. So, keep reading to learn more.
Given numbers are 348,111,933,444,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,111,933,444,777 is 28031052.
Find LCM of 348,111,933,444,777 with Prime Factorization
2 | 348, 111, 933, 444, 777 |
2 | 174, 111, 933, 222, 777 |
3 | 87, 111, 933, 111, 777 |
37 | 29, 37, 311, 37, 259 |
29, 1, 311, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 29 x 1 x 311 x 1 x 7 = 28031052
Therefore, the lowest common multiple of 348,111,933,444,777 is 28031052.
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.
348 x 111 x 933 x 444 x 777 = 12433341300912
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
111 : 1, 3, 37, 111
933 : 1, 3, 311, 933
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
777 : 1, 3, 7, 21, 37, 111, 259, 777
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,111,933,444,777, is 3.
Now, the common factors can be found like this.
348:2x 2x 3x 29
111:3x 37
933:3x 311
444:2x 2x 3x 37
777:3x 7x 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 3x 3x 3x 37x 37 = 147852
Therefore, the value for common factors is 147852.
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 = 12433341300912/(3x147852)
LCM = 12433341300912/443556
LCM = 28031052
Thus, we can understand that the LCM of 348,111,933,444,777 is 28031052.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 348, 111, 933, 444, 777?
Answer: LCM of 348, 111, 933, 444, 777 is 28031052.
2. How to calculate the LCM of 348, 111, 933, 444, 777?
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 348, 111, 933, 444, 777.
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}.