Find the LCM of 767, 687, 885, 886 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 767, 687, 885, 886. So, keep reading to learn more.
Given numbers are 767,687,885,886
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,687,885,886 is 2334295470.
Find LCM of 767,687,885,886 with Prime Factorization
3 | 767, 687, 885, 886 |
59 | 767, 229, 295, 886 |
13, 229, 5, 886 |
Multiply the prime numbers at the bottom and the left side.
3 x 59 x 13 x 229 x 5 x 886 = 2334295470
Therefore, the lowest common multiple of 767,687,885,886 is 2334295470.
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.
767 x 687 x 885 x 886 = 413170298190
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.
767 : 1, 13, 59, 767
687 : 1, 3, 229, 687
885 : 1, 3, 5, 15, 59, 177, 295, 885
886 : 1, 2, 443, 886
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,687,885,886, is 1.
Now, the common factors can be found like this.
767:13x 59
687:3x 229
885:3x 5x 59
886:2x 443
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 59 = 177
Therefore, the value for common factors is 177.
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 = 413170298190/(1x177)
LCM = 413170298190/177
LCM = 2334295470
Thus, we can understand that the LCM of 767,687,885,886 is 2334295470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 687, 885, 886?
Answer: LCM of 767, 687, 885, 886 is 2334295470.
2. How to calculate the LCM of 767, 687, 885, 886?
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 767, 687, 885, 886.
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}.