Find the LCM of 904, 703, 323, 747 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 904, 703, 323, 747. So, keep reading to learn more.
Given numbers are 904,703,323,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,703,323,747 is 8070366888.
Find LCM of 904,703,323,747 with Prime Factorization
19 | 904, 703, 323, 747 |
904, 37, 17, 747 |
Multiply the prime numbers at the bottom and the left side.
19 x 904 x 37 x 17 x 747 = 8070366888
Therefore, the lowest common multiple of 904,703,323,747 is 8070366888.
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.
904 x 703 x 323 x 747 = 153336970872
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
703 : 1, 19, 37, 703
323 : 1, 17, 19, 323
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,703,323,747, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
703:19x 37
323:17x 19
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 153336970872/(1x19)
LCM = 153336970872/19
LCM = 8070366888
Thus, we can understand that the LCM of 904,703,323,747 is 8070366888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 703, 323, 747?
Answer: LCM of 904, 703, 323, 747 is 8070366888.
2. How to calculate the LCM of 904, 703, 323, 747?
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 904, 703, 323, 747.
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}.