LCM of 512, 682, 240, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 682, 240, 408 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, 682, 240, 408. So, keep reading to learn more.
Given numbers are 512,682,240,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,682,240,408 is 44520960.
Find LCM of 512,682,240,408 with Prime Factorization
| 2 | 512, 682, 240, 408 |
| 2 | 256, 341, 120, 204 |
| 2 | 128, 341, 60, 102 |
| 2 | 64, 341, 30, 51 |
| 3 | 32, 341, 15, 51 |
| 32, 341, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 32 x 341 x 5 x 17 = 44520960
Therefore, the lowest common multiple of 512,682,240,408 is 44520960.
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 682 x 240 x 408 = 34192097280
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
682 : 1, 2, 11, 22, 31, 62, 341, 682
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,682,240,408, is 2.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
682:2x 11x 31
240:2x 2x 2x 2x 3x 5
408:2x 2x 2x 3x 17
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 3 = 384
Therefore, the value for common factors is 384.
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 = 34192097280/(2x384)
LCM = 34192097280/768
LCM = 44520960
Thus, we can understand that the LCM of 512,682,240,408 is 44520960.
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FAQs on LCM of 512, 682, 240, 408
1. What is the LCM of 512, 682, 240, 408?
Answer: LCM of 512, 682, 240, 408 is 44520960.
2. How to calculate the LCM of 512, 682, 240, 408?
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, 682, 240, 408.
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}.