LCM of 484, 248, 256, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 248, 256, 561 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 484, 248, 256, 561. So, keep reading to learn more.
Given numbers are 484,248,256,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,248,256,561 is 48973056.
Find LCM of 484,248,256,561 with Prime Factorization
| 2 | 484, 248, 256, 561 |
| 2 | 242, 124, 128, 561 |
| 2 | 121, 62, 64, 561 |
| 11 | 121, 31, 32, 561 |
| 11, 31, 32, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 31 x 32 x 51 = 48973056
Therefore, the lowest common multiple of 484,248,256,561 is 48973056.
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.
484 x 248 x 256 x 561 = 17238515712
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
248 : 1, 2, 4, 8, 31, 62, 124, 248
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,248,256,561, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
248:2x 2x 2x 31
256:2x 2x 2x 2x 2x 2x 2x 2
561:3x 11x 17
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 11 = 352
Therefore, the value for common factors is 352.
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 = 17238515712/(1x352)
LCM = 17238515712/352
LCM = 48973056
Thus, we can understand that the LCM of 484,248,256,561 is 48973056.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 248, 256, 561
1. What is the LCM of 484, 248, 256, 561?
Answer: LCM of 484, 248, 256, 561 is 48973056.
2. How to calculate the LCM of 484, 248, 256, 561?
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 484, 248, 256, 561.
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}.