Find the LCM of 512, 844, 414, 429 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, 844, 414, 429. So, keep reading to learn more.
Given numbers are 512,844,414,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,844,414,429 is 3197855232.
Find LCM of 512,844,414,429 with Prime Factorization
2 | 512, 844, 414, 429 |
2 | 256, 422, 207, 429 |
3 | 128, 211, 207, 429 |
128, 211, 69, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 128 x 211 x 69 x 143 = 3197855232
Therefore, the lowest common multiple of 512,844,414,429 is 3197855232.
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 844 x 414 x 429 = 76748525568
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
844 : 1, 2, 4, 211, 422, 844
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,844,414,429, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
844:2x 2x 211
414:2x 3x 3x 23
429:3x 11x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 76748525568/(1x24)
LCM = 76748525568/24
LCM = 3197855232
Thus, we can understand that the LCM of 512,844,414,429 is 3197855232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 844, 414, 429?
Answer: LCM of 512, 844, 414, 429 is 3197855232.
2. How to calculate the LCM of 512, 844, 414, 429?
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, 844, 414, 429.
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}.