LCM of 461, 648, 484, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 648, 484, 447 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 461, 648, 484, 447. So, keep reading to learn more.
Given numbers are 461,648,484,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,648,484,447 is 5385767112.
Find LCM of 461,648,484,447 with Prime Factorization
| 2 | 461, 648, 484, 447 |
| 2 | 461, 324, 242, 447 |
| 3 | 461, 162, 121, 447 |
| 461, 54, 121, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 461 x 54 x 121 x 149 = 5385767112
Therefore, the lowest common multiple of 461,648,484,447 is 5385767112.
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.
461 x 648 x 484 x 447 = 64629205344
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.
461 : 1, 461
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,648,484,447, is 1.
Now, the common factors can be found like this.
461:461
648:2x 2x 2x 3x 3x 3x 3
484:2x 2x 11x 11
447:3x 149
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 3 = 12
Therefore, the value for common factors is 12.
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 = 64629205344/(1x12)
LCM = 64629205344/12
LCM = 5385767112
Thus, we can understand that the LCM of 461,648,484,447 is 5385767112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 461, 648, 484, 447
1. What is the LCM of 461, 648, 484, 447?
Answer: LCM of 461, 648, 484, 447 is 5385767112.
2. How to calculate the LCM of 461, 648, 484, 447?
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 461, 648, 484, 447.
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}.