LCM of 388, 913, 649, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 913, 649, 747 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 388, 913, 649, 747. So, keep reading to learn more.
Given numbers are 388,913,649,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,913,649,747 is 188103564.
Find LCM of 388,913,649,747 with Prime Factorization
| 11 | 388, 913, 649, 747 |
| 83 | 388, 83, 59, 747 |
| 388, 1, 59, 9 |
Multiply the prime numbers at the bottom and the left side.
11 x 83 x 388 x 1 x 59 x 9 = 188103564
Therefore, the lowest common multiple of 388,913,649,747 is 188103564.
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.
388 x 913 x 649 x 747 = 171738553932
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.
388 : 1, 2, 4, 97, 194, 388
913 : 1, 11, 83, 913
649 : 1, 11, 59, 649
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,913,649,747, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
913:11x 83
649:11x 59
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 83 = 913
Therefore, the value for common factors is 913.
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 = 171738553932/(1x913)
LCM = 171738553932/913
LCM = 188103564
Thus, we can understand that the LCM of 388,913,649,747 is 188103564.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 388, 913, 649, 747
1. What is the LCM of 388, 913, 649, 747?
Answer: LCM of 388, 913, 649, 747 is 188103564.
2. How to calculate the LCM of 388, 913, 649, 747?
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 388, 913, 649, 747.
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}.