Find the LCM of 806, 331, 663, 187 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 806, 331, 663, 187. So, keep reading to learn more.
Given numbers are 806,331,663,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,331,663,187 is 149666946.
Find LCM of 806,331,663,187 with Prime Factorization
13 | 806, 331, 663, 187 |
17 | 62, 331, 51, 187 |
62, 331, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 62 x 331 x 3 x 11 = 149666946
Therefore, the lowest common multiple of 806,331,663,187 is 149666946.
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.
806 x 331 x 663 x 187 = 33076395066
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
331 : 1, 331
663 : 1, 3, 13, 17, 39, 51, 221, 663
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,331,663,187, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
331:331
663:3x 13x 17
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 33076395066/(1x221)
LCM = 33076395066/221
LCM = 149666946
Thus, we can understand that the LCM of 806,331,663,187 is 149666946.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 331, 663, 187?
Answer: LCM of 806, 331, 663, 187 is 149666946.
2. How to calculate the LCM of 806, 331, 663, 187?
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 806, 331, 663, 187.
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}.