Find the LCM of 463, 205, 958, 843, 485 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 463, 205, 958, 843, 485. So, keep reading to learn more.
Given numbers are 463,205,958,843,485
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,205,958,843,485 is 7435320097470.
Find LCM of 463,205,958,843,485 with Prime Factorization
5 | 463, 205, 958, 843, 485 |
463, 41, 958, 843, 97 |
Multiply the prime numbers at the bottom and the left side.
5 x 463 x 41 x 958 x 843 x 97 = 7435320097470
Therefore, the lowest common multiple of 463,205,958,843,485 is 7435320097470.
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.
463 x 205 x 958 x 843 x 485 = 37176600487350
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.
463 : 1, 463
205 : 1, 5, 41, 205
958 : 1, 2, 479, 958
843 : 1, 3, 281, 843
485 : 1, 5, 97, 485
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,205,958,843,485, is 1.
Now, the common factors can be found like this.
463:463
205:5x 41
958:2x 479
843:3x 281
485:5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 37176600487350/(1x5)
LCM = 37176600487350/5
LCM = 7435320097470
Thus, we can understand that the LCM of 463,205,958,843,485 is 7435320097470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 205, 958, 843, 485?
Answer: LCM of 463, 205, 958, 843, 485 is 7435320097470.
2. How to calculate the LCM of 463, 205, 958, 843, 485?
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 463, 205, 958, 843, 485.
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}.