LCM of 635, 304, 515, 512, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 304, 515, 512, 323 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 635, 304, 515, 512, 323. So, keep reading to learn more.
Given numbers are 635,304,515,512,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,304,515,512,323 is 10816417280.
Find LCM of 635,304,515,512,323 with Prime Factorization
| 2 | 635, 304, 515, 512, 323 |
| 2 | 635, 152, 515, 256, 323 |
| 2 | 635, 76, 515, 128, 323 |
| 2 | 635, 38, 515, 64, 323 |
| 5 | 635, 19, 515, 32, 323 |
| 19 | 127, 19, 103, 32, 323 |
| 127, 1, 103, 32, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 19 x 127 x 1 x 103 x 32 x 17 = 10816417280
Therefore, the lowest common multiple of 635,304,515,512,323 is 10816417280.
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.
635 x 304 x 515 x 512 x 323 = 16440954265600
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.
635 : 1, 5, 127, 635
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
515 : 1, 5, 103, 515
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,304,515,512,323, is 1.
Now, the common factors can be found like this.
635:5x 127
304:2x 2x 2x 2x 19
515:5x 103
512:2x 2x 2x 2x 2x 2x 2x 2x 2
323:17x 19
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 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 16440954265600/(1x1520)
LCM = 16440954265600/1520
LCM = 10816417280
Thus, we can understand that the LCM of 635,304,515,512,323 is 10816417280.
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FAQs on LCM of 635, 304, 515, 512, 323
1. What is the LCM of 635, 304, 515, 512, 323?
Answer: LCM of 635, 304, 515, 512, 323 is 10816417280.
2. How to calculate the LCM of 635, 304, 515, 512, 323?
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 635, 304, 515, 512, 323.
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}.