LCM of 727, 198, 634, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 198, 634, 793 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 727, 198, 634, 793. So, keep reading to learn more.
Given numbers are 727,198,634,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,198,634,793 is 36185289426.
Find LCM of 727,198,634,793 with Prime Factorization
| 2 | 727, 198, 634, 793 |
| 727, 99, 317, 793 |
Multiply the prime numbers at the bottom and the left side.
2 x 727 x 99 x 317 x 793 = 36185289426
Therefore, the lowest common multiple of 727,198,634,793 is 36185289426.
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.
727 x 198 x 634 x 793 = 72370578852
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.
727 : 1, 727
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
634 : 1, 2, 317, 634
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,198,634,793, is 1.
Now, the common factors can be found like this.
727:727
198:2x 3x 3x 11
634:2x 317
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 72370578852/(1x2)
LCM = 72370578852/2
LCM = 36185289426
Thus, we can understand that the LCM of 727,198,634,793 is 36185289426.
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FAQs on LCM of 727, 198, 634, 793
1. What is the LCM of 727, 198, 634, 793?
Answer: LCM of 727, 198, 634, 793 is 36185289426.
2. How to calculate the LCM of 727, 198, 634, 793?
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 727, 198, 634, 793.
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}.