Find the LCM of 334, 764, 382, 512 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 334, 764, 382, 512. So, keep reading to learn more.
Given numbers are 334,764,382,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,764,382,512 is 16331264.
Find LCM of 334,764,382,512 with Prime Factorization
2 | 334, 764, 382, 512 |
2 | 167, 382, 191, 256 |
191 | 167, 191, 191, 128 |
167, 1, 1, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 167 x 1 x 1 x 128 = 16331264
Therefore, the lowest common multiple of 334,764,382,512 is 16331264.
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.
334 x 764 x 382 x 512 = 49908342784
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.
334 : 1, 2, 167, 334
764 : 1, 2, 4, 191, 382, 764
382 : 1, 2, 191, 382
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,764,382,512, is 2.
Now, the common factors can be found like this.
334:2x 167
764:2x 2x 191
382:2x 191
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 191 = 1528
Therefore, the value for common factors is 1528.
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 = 49908342784/(2x1528)
LCM = 49908342784/3056
LCM = 16331264
Thus, we can understand that the LCM of 334,764,382,512 is 16331264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 334, 764, 382, 512?
Answer: LCM of 334, 764, 382, 512 is 16331264.
2. How to calculate the LCM of 334, 764, 382, 512?
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 334, 764, 382, 512.
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}.