Find the LCM of 483, 522, 870, 794, 312 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 483, 522, 870, 794, 312. So, keep reading to learn more.
Given numbers are 483,522,870,794,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,522,870,794,312 is 8674815240.
Find LCM of 483,522,870,794,312 with Prime Factorization
2 | 483, 522, 870, 794, 312 |
3 | 483, 261, 435, 397, 156 |
29 | 161, 87, 145, 397, 52 |
161, 3, 5, 397, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 161 x 3 x 5 x 397 x 52 = 8674815240
Therefore, the lowest common multiple of 483,522,870,794,312 is 8674815240.
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.
483 x 522 x 870 x 794 x 312 = 54339042663360
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
794 : 1, 2, 397, 794
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,522,870,794,312, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
522:2x 3x 3x 29
870:2x 3x 5x 29
794:2x 397
312:2x 2x 2x 3x 13
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 3x 3x 3x 29 = 6264
Therefore, the value for common factors is 6264.
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 = 54339042663360/(1x6264)
LCM = 54339042663360/6264
LCM = 8674815240
Thus, we can understand that the LCM of 483,522,870,794,312 is 8674815240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 483, 522, 870, 794, 312?
Answer: LCM of 483, 522, 870, 794, 312 is 8674815240.
2. How to calculate the LCM of 483, 522, 870, 794, 312?
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 483, 522, 870, 794, 312.
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}.