LCM of 256, 296, 141, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 296, 141, 144 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, 296, 141, 144. So, keep reading to learn more.
Given numbers are 256,296,141,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,296,141,144 is 4006656.
Find LCM of 256,296,141,144 with Prime Factorization
| 2 | 256, 296, 141, 144 |
| 2 | 128, 148, 141, 72 |
| 2 | 64, 74, 141, 36 |
| 2 | 32, 37, 141, 18 |
| 3 | 16, 37, 141, 9 |
| 16, 37, 47, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 16 x 37 x 47 x 3 = 4006656
Therefore, the lowest common multiple of 256,296,141,144 is 4006656.
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 296 x 141 x 144 = 1538555904
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
296 : 1, 2, 4, 8, 37, 74, 148, 296
141 : 1, 3, 47, 141
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,296,141,144, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
296:2x 2x 2x 37
141:3x 47
144:2x 2x 2x 2x 3x 3
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 = 1538555904/(1x384)
LCM = 1538555904/384
LCM = 4006656
Thus, we can understand that the LCM of 256,296,141,144 is 4006656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 256, 296, 141, 144
1. What is the LCM of 256, 296, 141, 144?
Answer: LCM of 256, 296, 141, 144 is 4006656.
2. How to calculate the LCM of 256, 296, 141, 144?
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, 296, 141, 144.
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}.