Find the LCM of 727, 573, 819, 336, 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, 573, 819, 336, 793. So, keep reading to learn more.
Given numbers are 727,573,819,336,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,573,819,336,793 is 110994509808.
Find LCM of 727,573,819,336,793 with Prime Factorization
3 | 727, 573, 819, 336, 793 |
7 | 727, 191, 273, 112, 793 |
13 | 727, 191, 39, 16, 793 |
727, 191, 3, 16, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 727 x 191 x 3 x 16 x 61 = 110994509808
Therefore, the lowest common multiple of 727,573,819,336,793 is 110994509808.
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 573 x 819 x 336 x 793 = 90904503532752
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
573 : 1, 3, 191, 573
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,573,819,336,793, is 1.
Now, the common factors can be found like this.
727:727
573:3x 191
819:3x 3x 7x 13
336:2x 2x 2x 2x 3x 7
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.
3x 3x 7x 13 = 819
Therefore, the value for common factors is 819.
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 = 90904503532752/(1x819)
LCM = 90904503532752/819
LCM = 110994509808
Thus, we can understand that the LCM of 727,573,819,336,793 is 110994509808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 727, 573, 819, 336, 793?
Answer: LCM of 727, 573, 819, 336, 793 is 110994509808.
2. How to calculate the LCM of 727, 573, 819, 336, 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, 573, 819, 336, 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}.