Find the LCM of 304, 825, 209, 703 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 304, 825, 209, 703. So, keep reading to learn more.
Given numbers are 304,825,209,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,825,209,703 is 9279600.
Find LCM of 304,825,209,703 with Prime Factorization
11 | 304, 825, 209, 703 |
19 | 304, 75, 19, 703 |
16, 75, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 16 x 75 x 1 x 37 = 9279600
Therefore, the lowest common multiple of 304,825,209,703 is 9279600.
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.
304 x 825 x 209 x 703 = 36849291600
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
209 : 1, 11, 19, 209
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,825,209,703, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
825:3x 5x 5x 11
209:11x 19
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19x 19 = 3971
Therefore, the value for common factors is 3971.
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 = 36849291600/(1x3971)
LCM = 36849291600/3971
LCM = 9279600
Thus, we can understand that the LCM of 304,825,209,703 is 9279600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 825, 209, 703?
Answer: LCM of 304, 825, 209, 703 is 9279600.
2. How to calculate the LCM of 304, 825, 209, 703?
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 304, 825, 209, 703.
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}.