Find the LCM of 960, 571, 512, 935, 274 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 960, 571, 512, 935, 274. So, keep reading to learn more.
Given numbers are 960,571,512,935,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,571,512,935,274 is 112346488320.
Find LCM of 960,571,512,935,274 with Prime Factorization
2 | 960, 571, 512, 935, 274 |
2 | 480, 571, 256, 935, 137 |
2 | 240, 571, 128, 935, 137 |
2 | 120, 571, 64, 935, 137 |
2 | 60, 571, 32, 935, 137 |
2 | 30, 571, 16, 935, 137 |
5 | 15, 571, 8, 935, 137 |
3, 571, 8, 187, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 571 x 8 x 187 x 137 = 112346488320
Therefore, the lowest common multiple of 960,571,512,935,274 is 112346488320.
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.
960 x 571 x 512 x 935 x 274 = 71901752524800
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
571 : 1, 571
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
935 : 1, 5, 11, 17, 55, 85, 187, 935
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,571,512,935,274, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
571:571
512:2x 2x 2x 2x 2x 2x 2x 2x 2
935:5x 11x 17
274:2x 137
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 5 = 640
Therefore, the value for common factors is 640.
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 = 71901752524800/(1x640)
LCM = 71901752524800/640
LCM = 112346488320
Thus, we can understand that the LCM of 960,571,512,935,274 is 112346488320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 960, 571, 512, 935, 274?
Answer: LCM of 960, 571, 512, 935, 274 is 112346488320.
2. How to calculate the LCM of 960, 571, 512, 935, 274?
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 960, 571, 512, 935, 274.
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}.