Find the LCM of 319, 128, 391, 850, 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 319, 128, 391, 850, 512. So, keep reading to learn more.
Given numbers are 319,128,391,850,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,128,391,850,512 is 1596531200.
Find LCM of 319,128,391,850,512 with Prime Factorization
2 | 319, 128, 391, 850, 512 |
2 | 319, 64, 391, 425, 256 |
2 | 319, 32, 391, 425, 128 |
2 | 319, 16, 391, 425, 64 |
2 | 319, 8, 391, 425, 32 |
2 | 319, 4, 391, 425, 16 |
2 | 319, 2, 391, 425, 8 |
17 | 319, 1, 391, 425, 4 |
319, 1, 23, 25, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 319 x 1 x 23 x 25 x 4 = 1596531200
Therefore, the lowest common multiple of 319,128,391,850,512 is 1596531200.
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.
319 x 128 x 391 x 850 x 512 = 6948103782400
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.
319 : 1, 11, 29, 319
128 : 1, 2, 4, 8, 16, 32, 64, 128
391 : 1, 17, 23, 391
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,128,391,850,512, is 1.
Now, the common factors can be found like this.
319:11x 29
128:2x 2x 2x 2x 2x 2x 2
391:17x 23
850:2x 5x 5x 17
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 2x 2x 2x 2x 2x 17 = 4352
Therefore, the value for common factors is 4352.
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 = 6948103782400/(1x4352)
LCM = 6948103782400/4352
LCM = 1596531200
Thus, we can understand that the LCM of 319,128,391,850,512 is 1596531200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 128, 391, 850, 512?
Answer: LCM of 319, 128, 391, 850, 512 is 1596531200.
2. How to calculate the LCM of 319, 128, 391, 850, 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 319, 128, 391, 850, 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}.