LCM of 730, 866, 797, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 866, 797, 908 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 730, 866, 797, 908. So, keep reading to learn more.
Given numbers are 730,866,797,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,866,797,908 is 114373373420.
Find LCM of 730,866,797,908 with Prime Factorization
| 2 | 730, 866, 797, 908 |
| 365, 433, 797, 454 |
Multiply the prime numbers at the bottom and the left side.
2 x 365 x 433 x 797 x 454 = 114373373420
Therefore, the lowest common multiple of 730,866,797,908 is 114373373420.
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.
730 x 866 x 797 x 908 = 457493493680
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
866 : 1, 2, 433, 866
797 : 1, 797
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,866,797,908, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
866:2x 433
797:797
908:2x 2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 457493493680/(1x4)
LCM = 457493493680/4
LCM = 114373373420
Thus, we can understand that the LCM of 730,866,797,908 is 114373373420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 730, 866, 797, 908
1. What is the LCM of 730, 866, 797, 908?
Answer: LCM of 730, 866, 797, 908 is 114373373420.
2. How to calculate the LCM of 730, 866, 797, 908?
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 730, 866, 797, 908.
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}.