LCM of 256, 815, 240, 310, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 815, 240, 310, 217 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 256, 815, 240, 310, 217. So, keep reading to learn more.
Given numbers are 256,815,240,310,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,815,240,310,217 is 135824640.
Find LCM of 256,815,240,310,217 with Prime Factorization
| 2 | 256, 815, 240, 310, 217 |
| 2 | 128, 815, 120, 155, 217 |
| 2 | 64, 815, 60, 155, 217 |
| 2 | 32, 815, 30, 155, 217 |
| 5 | 16, 815, 15, 155, 217 |
| 31 | 16, 163, 3, 31, 217 |
| 16, 163, 3, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 31 x 16 x 163 x 3 x 1 x 7 = 135824640
Therefore, the lowest common multiple of 256,815,240,310,217 is 135824640.
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.
256 x 815 x 240 x 310 x 217 = 3368451072000
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
815 : 1, 5, 163, 815
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
310 : 1, 2, 5, 10, 31, 62, 155, 310
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,815,240,310,217, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
815:5x 163
240:2x 2x 2x 2x 3x 5
310:2x 5x 31
217:7x 31
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 5x 5x 31 = 24800
Therefore, the value for common factors is 24800.
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 = 3368451072000/(1x24800)
LCM = 3368451072000/24800
LCM = 135824640
Thus, we can understand that the LCM of 256,815,240,310,217 is 135824640.
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FAQs on LCM of 256, 815, 240, 310, 217
1. What is the LCM of 256, 815, 240, 310, 217?
Answer: LCM of 256, 815, 240, 310, 217 is 135824640.
2. How to calculate the LCM of 256, 815, 240, 310, 217?
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 256, 815, 240, 310, 217.
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}.