LCM of 256, 470, 289, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 470, 289, 104 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, 470, 289, 104. So, keep reading to learn more.
Given numbers are 256,470,289,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,470,289,104 is 226021120.
Find LCM of 256,470,289,104 with Prime Factorization
| 2 | 256, 470, 289, 104 |
| 2 | 128, 235, 289, 52 |
| 2 | 64, 235, 289, 26 |
| 32, 235, 289, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 32 x 235 x 289 x 13 = 226021120
Therefore, the lowest common multiple of 256,470,289,104 is 226021120.
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 470 x 289 x 104 = 3616337920
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
470 : 1, 2, 5, 10, 47, 94, 235, 470
289 : 1, 17, 289
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,470,289,104, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
470:2x 5x 47
289:17x 17
104:2x 2x 2x 13
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 2 = 16
Therefore, the value for common factors is 16.
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 = 3616337920/(1x16)
LCM = 3616337920/16
LCM = 226021120
Thus, we can understand that the LCM of 256,470,289,104 is 226021120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 256, 470, 289, 104
1. What is the LCM of 256, 470, 289, 104?
Answer: LCM of 256, 470, 289, 104 is 226021120.
2. How to calculate the LCM of 256, 470, 289, 104?
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, 470, 289, 104.
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}.