Find the LCM of 805, 727, 727, 713 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 805, 727, 727, 713. So, keep reading to learn more.
Given numbers are 805,727,727,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,727,727,713 is 18142285.
Find LCM of 805,727,727,713 with Prime Factorization
23 | 805, 727, 727, 713 |
727 | 35, 727, 727, 31 |
35, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
23 x 727 x 35 x 1 x 1 x 31 = 18142285
Therefore, the lowest common multiple of 805,727,727,713 is 18142285.
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.
805 x 727 x 727 x 713 = 303357147485
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
727 : 1, 727
727 : 1, 727
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,727,727,713, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
727:727
727:727
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 727 = 16721
Therefore, the value for common factors is 16721.
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 = 303357147485/(1x16721)
LCM = 303357147485/16721
LCM = 18142285
Thus, we can understand that the LCM of 805,727,727,713 is 18142285.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 727, 727, 713?
Answer: LCM of 805, 727, 727, 713 is 18142285.
2. How to calculate the LCM of 805, 727, 727, 713?
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 805, 727, 727, 713.
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}.