Find the LCM of 986, 422, 211 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 986, 422, 211. So, keep reading to learn more.
Given numbers are 986,422,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,422,211 is 208046.
Find LCM of 986,422,211 with Prime Factorization
2 | 986, 422, 211 |
211 | 493, 211, 211 |
493, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 493 x 1 x 1 = 208046
Therefore, the lowest common multiple of 986,422,211 is 208046.
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.
986 x 422 x 211 = 87795412
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
422 : 1, 2, 211, 422
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,422,211, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
422:2x 211
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 211 = 422
Therefore, the value for common factors is 422.
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 = 87795412/(1x422)
LCM = 87795412/422
LCM = 208046
Thus, we can understand that the LCM of 986,422,211 is 208046.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 422, 211?
Answer: LCM of 986, 422, 211 is 208046.
2. How to calculate the LCM of 986, 422, 211?
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 986, 422, 211.
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}.