Find the LCM of 806, 637, 121, 189, 203 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, 637, 121, 189, 203. So, keep reading to learn more.
Given numbers are 806,637,121,189,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,637,121,189,203 is 3741780042.
Find LCM of 806,637,121,189,203 with Prime Factorization
7 | 806, 637, 121, 189, 203 |
13 | 806, 91, 121, 27, 29 |
62, 7, 121, 27, 29 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 62 x 7 x 121 x 27 x 29 = 3741780042
Therefore, the lowest common multiple of 806,637,121,189,203 is 3741780042.
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 637 x 121 x 189 x 203 = 2383513886754
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
637 : 1, 7, 13, 49, 91, 637
121 : 1, 11, 121
189 : 1, 3, 7, 9, 21, 27, 63, 189
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,637,121,189,203, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
637:7x 7x 13
121:11x 11
189:3x 3x 3x 7
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 13 = 637
Therefore, the value for common factors is 637.
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 = 2383513886754/(1x637)
LCM = 2383513886754/637
LCM = 3741780042
Thus, we can understand that the LCM of 806,637,121,189,203 is 3741780042.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 637, 121, 189, 203?
Answer: LCM of 806, 637, 121, 189, 203 is 3741780042.
2. How to calculate the LCM of 806, 637, 121, 189, 203?
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, 637, 121, 189, 203.
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}.