Find the LCM of 845, 814, 187, 875, 663 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 845, 814, 187, 875, 663. So, keep reading to learn more.
Given numbers are 845,814,187,875,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,814,187,875,663 is 6138882750.
Find LCM of 845,814,187,875,663 with Prime Factorization
5 | 845, 814, 187, 875, 663 |
11 | 169, 814, 187, 175, 663 |
13 | 169, 74, 17, 175, 663 |
17 | 13, 74, 17, 175, 51 |
13, 74, 1, 175, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 13 x 17 x 13 x 74 x 1 x 175 x 3 = 6138882750
Therefore, the lowest common multiple of 845,814,187,875,663 is 6138882750.
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.
845 x 814 x 187 x 875 x 663 = 74618119826250
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.
845 : 1, 5, 13, 65, 169, 845
814 : 1, 2, 11, 22, 37, 74, 407, 814
187 : 1, 11, 17, 187
875 : 1, 5, 7, 25, 35, 125, 175, 875
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,814,187,875,663, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
814:2x 11x 37
187:11x 17
875:5x 5x 5x 7
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 13x 17 = 12155
Therefore, the value for common factors is 12155.
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 = 74618119826250/(1x12155)
LCM = 74618119826250/12155
LCM = 6138882750
Thus, we can understand that the LCM of 845,814,187,875,663 is 6138882750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 814, 187, 875, 663?
Answer: LCM of 845, 814, 187, 875, 663 is 6138882750.
2. How to calculate the LCM of 845, 814, 187, 875, 663?
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 845, 814, 187, 875, 663.
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}.