Find the LCM of 493, 707, 923, 898, 996 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 493, 707, 923, 898, 996. So, keep reading to learn more.
Given numbers are 493,707,923,898,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,707,923,898,996 is 143871149495892.
Find LCM of 493,707,923,898,996 with Prime Factorization
2 | 493, 707, 923, 898, 996 |
493, 707, 923, 449, 498 |
Multiply the prime numbers at the bottom and the left side.
2 x 493 x 707 x 923 x 449 x 498 = 143871149495892
Therefore, the lowest common multiple of 493,707,923,898,996 is 143871149495892.
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.
493 x 707 x 923 x 898 x 996 = 287742298991784
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.
493 : 1, 17, 29, 493
707 : 1, 7, 101, 707
923 : 1, 13, 71, 923
898 : 1, 2, 449, 898
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,707,923,898,996, is 1.
Now, the common factors can be found like this.
493:17x 29
707:7x 101
923:13x 71
898:2x 449
996:2x 2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 287742298991784/(1x2)
LCM = 287742298991784/2
LCM = 143871149495892
Thus, we can understand that the LCM of 493,707,923,898,996 is 143871149495892.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 707, 923, 898, 996?
Answer: LCM of 493, 707, 923, 898, 996 is 143871149495892.
2. How to calculate the LCM of 493, 707, 923, 898, 996?
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 493, 707, 923, 898, 996.
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}.