LCM of 262, 202, 211, 806, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 202, 211, 806, 111 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 262, 202, 211, 806, 111. So, keep reading to learn more.
Given numbers are 262,202,211,806,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,202,211,806,111 is 249765900306.
Find LCM of 262,202,211,806,111 with Prime Factorization
| 2 | 262, 202, 211, 806, 111 |
| 131, 101, 211, 403, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 101 x 211 x 403 x 111 = 249765900306
Therefore, the lowest common multiple of 262,202,211,806,111 is 249765900306.
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.
262 x 202 x 211 x 806 x 111 = 999063601224
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.
262 : 1, 2, 131, 262
202 : 1, 2, 101, 202
211 : 1, 211
806 : 1, 2, 13, 26, 31, 62, 403, 806
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,202,211,806,111, is 1.
Now, the common factors can be found like this.
262:2x 131
202:2x 101
211:211
806:2x 13x 31
111:3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 999063601224/(1x4)
LCM = 999063601224/4
LCM = 249765900306
Thus, we can understand that the LCM of 262,202,211,806,111 is 249765900306.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 262, 202, 211, 806, 111
1. What is the LCM of 262, 202, 211, 806, 111?
Answer: LCM of 262, 202, 211, 806, 111 is 249765900306.
2. How to calculate the LCM of 262, 202, 211, 806, 111?
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 262, 202, 211, 806, 111.
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}.