Find the LCM of 796, 252, 404, 711, 578 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 796, 252, 404, 711, 578. So, keep reading to learn more.
Given numbers are 796,252,404,711,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,252,404,711,578 is 115637827788.
Find LCM of 796,252,404,711,578 with Prime Factorization
2 | 796, 252, 404, 711, 578 |
2 | 398, 126, 202, 711, 289 |
3 | 199, 63, 101, 711, 289 |
3 | 199, 21, 101, 237, 289 |
199, 7, 101, 79, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 199 x 7 x 101 x 79 x 289 = 115637827788
Therefore, the lowest common multiple of 796,252,404,711,578 is 115637827788.
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.
796 x 252 x 404 x 711 x 578 = 33303694402944
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.
796 : 1, 2, 4, 199, 398, 796
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
404 : 1, 2, 4, 101, 202, 404
711 : 1, 3, 9, 79, 237, 711
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,252,404,711,578, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
252:2x 2x 3x 3x 7
404:2x 2x 101
711:3x 3x 79
578:2x 17x 17
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 3 = 288
Therefore, the value for common factors is 288.
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 = 33303694402944/(1x288)
LCM = 33303694402944/288
LCM = 115637827788
Thus, we can understand that the LCM of 796,252,404,711,578 is 115637827788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 796, 252, 404, 711, 578?
Answer: LCM of 796, 252, 404, 711, 578 is 115637827788.
2. How to calculate the LCM of 796, 252, 404, 711, 578?
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 796, 252, 404, 711, 578.
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}.