Find the LCM of 495, 998, 731, 731 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 495, 998, 731, 731. So, keep reading to learn more.
Given numbers are 495,998,731,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,998,731,731 is 361121310.
Find LCM of 495,998,731,731 with Prime Factorization
17 | 495, 998, 731, 731 |
43 | 495, 998, 43, 43 |
495, 998, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 43 x 495 x 998 x 1 x 1 = 361121310
Therefore, the lowest common multiple of 495,998,731,731 is 361121310.
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.
495 x 998 x 731 x 731 = 263979677610
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
998 : 1, 2, 499, 998
731 : 1, 17, 43, 731
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,998,731,731, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
998:2x 499
731:17x 43
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 43 = 731
Therefore, the value for common factors is 731.
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 = 263979677610/(1x731)
LCM = 263979677610/731
LCM = 361121310
Thus, we can understand that the LCM of 495,998,731,731 is 361121310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 495, 998, 731, 731?
Answer: LCM of 495, 998, 731, 731 is 361121310.
2. How to calculate the LCM of 495, 998, 731, 731?
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 495, 998, 731, 731.
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}.