Find the LCM of 211, 267, 445 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 211, 267, 445. So, keep reading to learn more.
Given numbers are 211,267,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,267,445 is 281685.
Find LCM of 211,267,445 with Prime Factorization
89 | 211, 267, 445 |
211, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
89 x 211 x 3 x 5 = 281685
Therefore, the lowest common multiple of 211,267,445 is 281685.
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.
211 x 267 x 445 = 25069965
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.
211 : 1, 211
267 : 1, 3, 89, 267
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,267,445, is 1.
Now, the common factors can be found like this.
211:211
267:3x 89
445:5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
89 = 89
Therefore, the value for common factors is 89.
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 = 25069965/(1x89)
LCM = 25069965/89
LCM = 281685
Thus, we can understand that the LCM of 211,267,445 is 281685.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 267, 445?
Answer: LCM of 211, 267, 445 is 281685.
2. How to calculate the LCM of 211, 267, 445?
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 211, 267, 445.
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}.