Find the LCM of 739, 903, 777, 903, 287 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 739, 903, 777, 903, 287. So, keep reading to learn more.
Given numbers are 739,903,777,903,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,903,777,903,287 is 1012319889.
Find LCM of 739,903,777,903,287 with Prime Factorization
3 | 739, 903, 777, 903, 287 |
7 | 739, 301, 259, 301, 287 |
43 | 739, 43, 37, 43, 41 |
739, 1, 37, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 43 x 739 x 1 x 37 x 1 x 41 = 1012319889
Therefore, the lowest common multiple of 739,903,777,903,287 is 1012319889.
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.
739 x 903 x 777 x 903 x 287 = 134376354385749
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.
739 : 1, 739
903 : 1, 3, 7, 21, 43, 129, 301, 903
777 : 1, 3, 7, 21, 37, 111, 259, 777
903 : 1, 3, 7, 21, 43, 129, 301, 903
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,903,777,903,287, is 1.
Now, the common factors can be found like this.
739:739
903:3x 7x 43
777:3x 7x 37
903:3x 7x 43
287:7x 41
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 7x 7x 43 = 132741
Therefore, the value for common factors is 132741.
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 = 134376354385749/(1x132741)
LCM = 134376354385749/132741
LCM = 1012319889
Thus, we can understand that the LCM of 739,903,777,903,287 is 1012319889.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 903, 777, 903, 287?
Answer: LCM of 739, 903, 777, 903, 287 is 1012319889.
2. How to calculate the LCM of 739, 903, 777, 903, 287?
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 739, 903, 777, 903, 287.
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}.