Find the LCM of 578, 250, 408, 256 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 578, 250, 408, 256. So, keep reading to learn more.
Given numbers are 578,250,408,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,250,408,256 is 27744000.
Find LCM of 578,250,408,256 with Prime Factorization
2 | 578, 250, 408, 256 |
2 | 289, 125, 204, 128 |
2 | 289, 125, 102, 64 |
17 | 289, 125, 51, 32 |
17, 125, 3, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 17 x 125 x 3 x 32 = 27744000
Therefore, the lowest common multiple of 578,250,408,256 is 27744000.
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.
578 x 250 x 408 x 256 = 15092736000
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.
578 : 1, 2, 17, 34, 289, 578
250 : 1, 2, 5, 10, 25, 50, 125, 250
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,250,408,256, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
250:2x 5x 5x 5
408:2x 2x 2x 3x 17
256:2x 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 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 15092736000/(2x272)
LCM = 15092736000/544
LCM = 27744000
Thus, we can understand that the LCM of 578,250,408,256 is 27744000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 250, 408, 256?
Answer: LCM of 578, 250, 408, 256 is 27744000.
2. How to calculate the LCM of 578, 250, 408, 256?
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 578, 250, 408, 256.
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}.