Find the LCM of 312, 374, 990, 843, 396 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 312, 374, 990, 843, 396. So, keep reading to learn more.
Given numbers are 312,374,990,843,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,374,990,843,396 is 245919960.
Find LCM of 312,374,990,843,396 with Prime Factorization
2 | 312, 374, 990, 843, 396 |
2 | 156, 187, 495, 843, 198 |
3 | 78, 187, 495, 843, 99 |
3 | 26, 187, 165, 281, 33 |
11 | 26, 187, 55, 281, 11 |
26, 17, 5, 281, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 26 x 17 x 5 x 281 x 1 = 245919960
Therefore, the lowest common multiple of 312,374,990,843,396 is 245919960.
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.
312 x 374 x 990 x 843 x 396 = 38564184447360
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
374 : 1, 2, 11, 17, 22, 34, 187, 374
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
843 : 1, 3, 281, 843
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,374,990,843,396, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
374:2x 11x 17
990:2x 3x 3x 5x 11
843:3x 281
396:2x 2x 3x 3x 11
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 3x 3x 3x 3x 11x 11 = 156816
Therefore, the value for common factors is 156816.
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 = 38564184447360/(1x156816)
LCM = 38564184447360/156816
LCM = 245919960
Thus, we can understand that the LCM of 312,374,990,843,396 is 245919960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 374, 990, 843, 396?
Answer: LCM of 312, 374, 990, 843, 396 is 245919960.
2. How to calculate the LCM of 312, 374, 990, 843, 396?
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 312, 374, 990, 843, 396.
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}.