Find the LCM of 578, 987, 233, 873, 252 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 578, 987, 233, 873, 252. So, keep reading to learn more.
Given numbers are 578,987,233,873,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,987,233,873,252 is 77361324516.
Find LCM of 578,987,233,873,252 with Prime Factorization
2 | 578, 987, 233, 873, 252 |
3 | 289, 987, 233, 873, 126 |
3 | 289, 329, 233, 291, 42 |
7 | 289, 329, 233, 97, 14 |
289, 47, 233, 97, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 289 x 47 x 233 x 97 x 2 = 77361324516
Therefore, the lowest common multiple of 578,987,233,873,252 is 77361324516.
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.
578 x 987 x 233 x 873 x 252 = 29242580667048
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.
578 : 1, 2, 17, 34, 289, 578
987 : 1, 3, 7, 21, 47, 141, 329, 987
233 : 1, 233
873 : 1, 3, 9, 97, 291, 873
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,987,233,873,252, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
987:3x 7x 47
233:233
873:3x 3x 97
252:2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 29242580667048/(1x378)
LCM = 29242580667048/378
LCM = 77361324516
Thus, we can understand that the LCM of 578,987,233,873,252 is 77361324516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 987, 233, 873, 252?
Answer: LCM of 578, 987, 233, 873, 252 is 77361324516.
2. How to calculate the LCM of 578, 987, 233, 873, 252?
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 578, 987, 233, 873, 252.
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}.