Find the LCM of 512, 968, 871, 804 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 512, 968, 871, 804. So, keep reading to learn more.
Given numbers are 512,968,871,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,968,871,804 is 161880576.
Find LCM of 512,968,871,804 with Prime Factorization
2 | 512, 968, 871, 804 |
2 | 256, 484, 871, 402 |
2 | 128, 242, 871, 201 |
67 | 64, 121, 871, 201 |
64, 121, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 67 x 64 x 121 x 13 x 3 = 161880576
Therefore, the lowest common multiple of 512,968,871,804 is 161880576.
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.
512 x 968 x 871 x 804 = 347071954944
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
871 : 1, 13, 67, 871
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,968,871,804, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
968:2x 2x 2x 11x 11
871:13x 67
804:2x 2x 3x 67
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 67 = 2144
Therefore, the value for common factors is 2144.
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 = 347071954944/(1x2144)
LCM = 347071954944/2144
LCM = 161880576
Thus, we can understand that the LCM of 512,968,871,804 is 161880576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 968, 871, 804?
Answer: LCM of 512, 968, 871, 804 is 161880576.
2. How to calculate the LCM of 512, 968, 871, 804?
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 512, 968, 871, 804.
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}.