LCM of 512, 138, 965, 420, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 138, 965, 420, 960 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, 138, 965, 420, 960. So, keep reading to learn more.
Given numbers are 512,138,965,420,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,138,965,420,960 is 238640640.
Find LCM of 512,138,965,420,960 with Prime Factorization
| 2 | 512, 138, 965, 420, 960 |
| 2 | 256, 69, 965, 210, 480 |
| 2 | 128, 69, 965, 105, 240 |
| 2 | 64, 69, 965, 105, 120 |
| 2 | 32, 69, 965, 105, 60 |
| 2 | 16, 69, 965, 105, 30 |
| 3 | 8, 69, 965, 105, 15 |
| 5 | 8, 23, 965, 35, 5 |
| 8, 23, 193, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 8 x 23 x 193 x 7 x 1 = 238640640
Therefore, the lowest common multiple of 512,138,965,420,960 is 238640640.
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 138 x 965 x 420 x 960 = 27491401728000
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
138 : 1, 2, 3, 6, 23, 46, 69, 138
965 : 1, 5, 193, 965
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,138,965,420,960, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
138:2x 3x 23
965:5x 193
420:2x 2x 3x 5x 7
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 3x 3x 5x 5 = 115200
Therefore, the value for common factors is 115200.
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 = 27491401728000/(1x115200)
LCM = 27491401728000/115200
LCM = 238640640
Thus, we can understand that the LCM of 512,138,965,420,960 is 238640640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 512, 138, 965, 420, 960
1. What is the LCM of 512, 138, 965, 420, 960?
Answer: LCM of 512, 138, 965, 420, 960 is 238640640.
2. How to calculate the LCM of 512, 138, 965, 420, 960?
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, 138, 965, 420, 960.
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}.