LCM of 288, 208, 849, 256, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 208, 849, 256, 339 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 288, 208, 849, 256, 339. So, keep reading to learn more.
Given numbers are 288,208,849,256,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,208,849,256,339 is 957835008.
Find LCM of 288,208,849,256,339 with Prime Factorization
| 2 | 288, 208, 849, 256, 339 |
| 2 | 144, 104, 849, 128, 339 |
| 2 | 72, 52, 849, 64, 339 |
| 2 | 36, 26, 849, 32, 339 |
| 2 | 18, 13, 849, 16, 339 |
| 3 | 9, 13, 849, 8, 339 |
| 3, 13, 283, 8, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 283 x 8 x 113 = 957835008
Therefore, the lowest common multiple of 288,208,849,256,339 is 957835008.
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.
288 x 208 x 849 x 256 x 339 = 4413703716864
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
849 : 1, 3, 283, 849
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,208,849,256,339, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
208:2x 2x 2x 2x 13
849:3x 283
256:2x 2x 2x 2x 2x 2x 2x 2
339:3x 113
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 3 = 4608
Therefore, the value for common factors is 4608.
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 = 4413703716864/(1x4608)
LCM = 4413703716864/4608
LCM = 957835008
Thus, we can understand that the LCM of 288,208,849,256,339 is 957835008.
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FAQs on LCM of 288, 208, 849, 256, 339
1. What is the LCM of 288, 208, 849, 256, 339?
Answer: LCM of 288, 208, 849, 256, 339 is 957835008.
2. How to calculate the LCM of 288, 208, 849, 256, 339?
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 288, 208, 849, 256, 339.
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}.