Find the LCM of 872, 995, 936, 908, 325 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 872, 995, 936, 908, 325. So, keep reading to learn more.
Given numbers are 872,995,936,908,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,995,936,908,325 is 115218253800.
Find LCM of 872,995,936,908,325 with Prime Factorization
2 | 872, 995, 936, 908, 325 |
2 | 436, 995, 468, 454, 325 |
2 | 218, 995, 234, 227, 325 |
5 | 109, 995, 117, 227, 325 |
13 | 109, 199, 117, 227, 65 |
109, 199, 9, 227, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 109 x 199 x 9 x 227 x 5 = 115218253800
Therefore, the lowest common multiple of 872,995,936,908,325 is 115218253800.
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.
872 x 995 x 936 x 908 x 325 = 239653967904000
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
995 : 1, 5, 199, 995
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
908 : 1, 2, 4, 227, 454, 908
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,995,936,908,325, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
995:5x 199
936:2x 2x 2x 3x 3x 13
908:2x 2x 227
325:5x 5x 13
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 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 239653967904000/(1x2080)
LCM = 239653967904000/2080
LCM = 115218253800
Thus, we can understand that the LCM of 872,995,936,908,325 is 115218253800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 872, 995, 936, 908, 325?
Answer: LCM of 872, 995, 936, 908, 325 is 115218253800.
2. How to calculate the LCM of 872, 995, 936, 908, 325?
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 872, 995, 936, 908, 325.
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}.