Find the LCM of 681, 727, 487, 558, 311 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 681, 727, 487, 558, 311. So, keep reading to learn more.
Given numbers are 681,727,487,558,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,727,487,558,311 is 13947096867174.
Find LCM of 681,727,487,558,311 with Prime Factorization
3 | 681, 727, 487, 558, 311 |
227, 727, 487, 186, 311 |
Multiply the prime numbers at the bottom and the left side.
3 x 227 x 727 x 487 x 186 x 311 = 13947096867174
Therefore, the lowest common multiple of 681,727,487,558,311 is 13947096867174.
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.
681 x 727 x 487 x 558 x 311 = 41841290601522
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.
681 : 1, 3, 227, 681
727 : 1, 727
487 : 1, 487
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,727,487,558,311, is 1.
Now, the common factors can be found like this.
681:3x 227
727:727
487:487
558:2x 3x 3x 31
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 41841290601522/(1x3)
LCM = 41841290601522/3
LCM = 13947096867174
Thus, we can understand that the LCM of 681,727,487,558,311 is 13947096867174.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 727, 487, 558, 311?
Answer: LCM of 681, 727, 487, 558, 311 is 13947096867174.
2. How to calculate the LCM of 681, 727, 487, 558, 311?
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 681, 727, 487, 558, 311.
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}.