Find the LCM of 382, 943, 987, 808 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 382, 943, 987, 808. So, keep reading to learn more.
Given numbers are 382,943,987,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,943,987,808 is 143639397048.
Find LCM of 382,943,987,808 with Prime Factorization
2 | 382, 943, 987, 808 |
191, 943, 987, 404 |
Multiply the prime numbers at the bottom and the left side.
2 x 191 x 943 x 987 x 404 = 143639397048
Therefore, the lowest common multiple of 382,943,987,808 is 143639397048.
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.
382 x 943 x 987 x 808 = 287278794096
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.
382 : 1, 2, 191, 382
943 : 1, 23, 41, 943
987 : 1, 3, 7, 21, 47, 141, 329, 987
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,943,987,808, is 1.
Now, the common factors can be found like this.
382:2x 191
943:23x 41
987:3x 7x 47
808:2x 2x 2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 287278794096/(1x2)
LCM = 287278794096/2
LCM = 143639397048
Thus, we can understand that the LCM of 382,943,987,808 is 143639397048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 943, 987, 808?
Answer: LCM of 382, 943, 987, 808 is 143639397048.
2. How to calculate the LCM of 382, 943, 987, 808?
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 382, 943, 987, 808.
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}.