Find the LCM of 428, 401, 792, 792, 873 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 428, 401, 792, 792, 873. So, keep reading to learn more.
Given numbers are 428,401,792,792,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,401,792,792,873 is 3296287368.
Find LCM of 428,401,792,792,873 with Prime Factorization
2 | 428, 401, 792, 792, 873 |
2 | 214, 401, 396, 396, 873 |
2 | 107, 401, 198, 198, 873 |
3 | 107, 401, 99, 99, 873 |
3 | 107, 401, 33, 33, 291 |
11 | 107, 401, 11, 11, 97 |
107, 401, 1, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 107 x 401 x 1 x 1 x 97 = 3296287368
Therefore, the lowest common multiple of 428,401,792,792,873 is 3296287368.
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.
428 x 401 x 792 x 792 x 873 = 93983745436416
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.
428 : 1, 2, 4, 107, 214, 428
401 : 1, 401
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,401,792,792,873, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
401:401
792:2x 2x 2x 3x 3x 11
792:2x 2x 2x 3x 3x 11
873:3x 3x 97
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 3x 3x 3x 3x 11 = 28512
Therefore, the value for common factors is 28512.
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 = 93983745436416/(1x28512)
LCM = 93983745436416/28512
LCM = 3296287368
Thus, we can understand that the LCM of 428,401,792,792,873 is 3296287368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 401, 792, 792, 873?
Answer: LCM of 428, 401, 792, 792, 873 is 3296287368.
2. How to calculate the LCM of 428, 401, 792, 792, 873?
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 428, 401, 792, 792, 873.
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}.