LCM of 866, 211, 180, 732, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 211, 180, 732, 251 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 866, 211, 180, 732, 251. So, keep reading to learn more.
Given numbers are 866,211,180,732,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,211,180,732,251 is 251794600740.
Find LCM of 866,211,180,732,251 with Prime Factorization
| 2 | 866, 211, 180, 732, 251 |
| 2 | 433, 211, 90, 366, 251 |
| 3 | 433, 211, 45, 183, 251 |
| 433, 211, 15, 61, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 433 x 211 x 15 x 61 x 251 = 251794600740
Therefore, the lowest common multiple of 866,211,180,732,251 is 251794600740.
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.
866 x 211 x 180 x 732 x 251 = 6043070417760
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.
866 : 1, 2, 433, 866
211 : 1, 211
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,211,180,732,251, is 1.
Now, the common factors can be found like this.
866:2x 433
211:211
180:2x 2x 3x 3x 5
732:2x 2x 3x 61
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 6043070417760/(1x24)
LCM = 6043070417760/24
LCM = 251794600740
Thus, we can understand that the LCM of 866,211,180,732,251 is 251794600740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 866, 211, 180, 732, 251
1. What is the LCM of 866, 211, 180, 732, 251?
Answer: LCM of 866, 211, 180, 732, 251 is 251794600740.
2. How to calculate the LCM of 866, 211, 180, 732, 251?
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 866, 211, 180, 732, 251.
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}.