LCM of 256, 769, 164, 205, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 769, 164, 205, 189 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, 769, 164, 205, 189. So, keep reading to learn more.
Given numbers are 256,769,164,205,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,769,164,205,189 is 7627495680.
Find LCM of 256,769,164,205,189 with Prime Factorization
| 2 | 256, 769, 164, 205, 189 |
| 2 | 128, 769, 82, 205, 189 |
| 41 | 64, 769, 41, 205, 189 |
| 64, 769, 1, 5, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 64 x 769 x 1 x 5 x 189 = 7627495680
Therefore, the lowest common multiple of 256,769,164,205,189 is 7627495680.
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 769 x 164 x 205 x 189 = 1250909291520
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
769 : 1, 769
164 : 1, 2, 4, 41, 82, 164
205 : 1, 5, 41, 205
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,769,164,205,189, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
769:769
164:2x 2x 41
205:5x 41
189:3x 3x 3x 7
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 41 = 164
Therefore, the value for common factors is 164.
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 = 1250909291520/(1x164)
LCM = 1250909291520/164
LCM = 7627495680
Thus, we can understand that the LCM of 256,769,164,205,189 is 7627495680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 256, 769, 164, 205, 189
1. What is the LCM of 256, 769, 164, 205, 189?
Answer: LCM of 256, 769, 164, 205, 189 is 7627495680.
2. How to calculate the LCM of 256, 769, 164, 205, 189?
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, 769, 164, 205, 189.
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}.