Find the LCM of 512, 678, 867, 334 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, 678, 867, 334. So, keep reading to learn more.
Given numbers are 512,678,867,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,678,867,334 is 8376912384.
Find LCM of 512,678,867,334 with Prime Factorization
2 | 512, 678, 867, 334 |
3 | 256, 339, 867, 167 |
256, 113, 289, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 256 x 113 x 289 x 167 = 8376912384
Therefore, the lowest common multiple of 512,678,867,334 is 8376912384.
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 678 x 867 x 334 = 100522948608
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
867 : 1, 3, 17, 51, 289, 867
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,678,867,334, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
678:2x 3x 113
867:3x 17x 17
334:2x 167
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 3 = 12
Therefore, the value for common factors is 12.
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 = 100522948608/(1x12)
LCM = 100522948608/12
LCM = 8376912384
Thus, we can understand that the LCM of 512,678,867,334 is 8376912384.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 678, 867, 334?
Answer: LCM of 512, 678, 867, 334 is 8376912384.
2. How to calculate the LCM of 512, 678, 867, 334?
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, 678, 867, 334.
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}.