LCM of 268, 512, 448, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 512, 448, 854 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 268, 512, 448, 854. So, keep reading to learn more.
Given numbers are 268,512,448,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,512,448,854 is 14647808.
Find LCM of 268,512,448,854 with Prime Factorization
| 2 | 268, 512, 448, 854 |
| 2 | 134, 256, 224, 427 |
| 2 | 67, 128, 112, 427 |
| 2 | 67, 64, 56, 427 |
| 2 | 67, 32, 28, 427 |
| 2 | 67, 16, 14, 427 |
| 7 | 67, 8, 7, 427 |
| 67, 8, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 7 x 67 x 8 x 1 x 61 = 14647808
Therefore, the lowest common multiple of 268,512,448,854 is 14647808.
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.
268 x 512 x 448 x 854 = 52497743872
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.
268 : 1, 2, 4, 67, 134, 268
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
854 : 1, 2, 7, 14, 61, 122, 427, 854
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,512,448,854, is 2.
Now, the common factors can be found like this.
268:2x 2x 67
512:2x 2x 2x 2x 2x 2x 2x 2x 2
448:2x 2x 2x 2x 2x 2x 7
854:2x 7x 61
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 7 = 1792
Therefore, the value for common factors is 1792.
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 = 52497743872/(2x1792)
LCM = 52497743872/3584
LCM = 14647808
Thus, we can understand that the LCM of 268,512,448,854 is 14647808.
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FAQs on LCM of 268, 512, 448, 854
1. What is the LCM of 268, 512, 448, 854?
Answer: LCM of 268, 512, 448, 854 is 14647808.
2. How to calculate the LCM of 268, 512, 448, 854?
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 268, 512, 448, 854.
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}.