LCM of 111, 687, 481, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 687, 481, 416 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 111, 687, 481, 416. So, keep reading to learn more.
Given numbers are 111,687,481,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,687,481,416 is 10574304.
Find LCM of 111,687,481,416 with Prime Factorization
| 3 | 111, 687, 481, 416 |
| 13 | 37, 229, 481, 416 |
| 37 | 37, 229, 37, 32 |
| 1, 229, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 37 x 1 x 229 x 1 x 32 = 10574304
Therefore, the lowest common multiple of 111,687,481,416 is 10574304.
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.
111 x 687 x 481 x 416 = 15258720672
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.
111 : 1, 3, 37, 111
687 : 1, 3, 229, 687
481 : 1, 13, 37, 481
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,687,481,416, is 1.
Now, the common factors can be found like this.
111:3x 37
687:3x 229
481:13x 37
416:2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 37 = 1443
Therefore, the value for common factors is 1443.
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 = 15258720672/(1x1443)
LCM = 15258720672/1443
LCM = 10574304
Thus, we can understand that the LCM of 111,687,481,416 is 10574304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 687, 481, 416
1. What is the LCM of 111, 687, 481, 416?
Answer: LCM of 111, 687, 481, 416 is 10574304.
2. How to calculate the LCM of 111, 687, 481, 416?
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 111, 687, 481, 416.
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}.