Find the LCM of 200, 384, 195, 727, 824 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 200, 384, 195, 727, 824. So, keep reading to learn more.
Given numbers are 200,384,195,727,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,384,195,727,824 is 9345148800.
Find LCM of 200,384,195,727,824 with Prime Factorization
2 | 200, 384, 195, 727, 824 |
2 | 100, 192, 195, 727, 412 |
2 | 50, 96, 195, 727, 206 |
3 | 25, 48, 195, 727, 103 |
5 | 25, 16, 65, 727, 103 |
5, 16, 13, 727, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 16 x 13 x 727 x 103 = 9345148800
Therefore, the lowest common multiple of 200,384,195,727,824 is 9345148800.
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.
200 x 384 x 195 x 727 x 824 = 8971342848000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
195 : 1, 3, 5, 13, 15, 39, 65, 195
727 : 1, 727
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,384,195,727,824, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
384:2x 2x 2x 2x 2x 2x 2x 3
195:3x 5x 13
727:727
824:2x 2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 8971342848000/(1x960)
LCM = 8971342848000/960
LCM = 9345148800
Thus, we can understand that the LCM of 200,384,195,727,824 is 9345148800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 200, 384, 195, 727, 824?
Answer: LCM of 200, 384, 195, 727, 824 is 9345148800.
2. How to calculate the LCM of 200, 384, 195, 727, 824?
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 200, 384, 195, 727, 824.
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}.