Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/266, 449/861, 446/670 quickly i.e. 8210414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/266, 449/861, 446/670 is 8210414.
LCM(82/266, 449/861, 446/670) = 8210414
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/266,449/861,446/670
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 82,449,446
Least Common Multiple of Numerators i.e. LCM of 82,449,446 is 8210414.
GCF of Denominators means GCF of 266,861,670 as per the given fractions.
GCF of 266,861,670 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,449,446
2 | 82, 449, 446 |
41, 449, 223 |
∴ So the LCM of the given numbers is 2 x 41 x 449 x 223 = 8210414
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 82,449,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,449,446) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,449,446) x common factors =1 x 2 = 2
LCM(82,449,446) = ( 82 × 449 × 446 ) / 2
LCM(82,449,446) = 16420828 / 2
LCM(82,449,446) = 8210414
Lets's calculate GCF of 266,861,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8210414/1
Therefore the LCM of Fractions 82/266,449/861,446/670 is 8210414
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 266,861,670 . The biggest common factor number is the GCF number.
So the greatest common factor 266,861,670 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 82/266, 449/861, 446/670?
Answer: LCM of Numerators as per given numbers 82/266, 449/861, 446/670 is
LCM of Numerators i.e. for 82,449,446 is 8210414
GCF of denominators i.e. for 266,861,670 is 1.
Thus, LCM of Fractions is 8210414.Finally, LCM of Fractions for 82/266, 449/861, 446/670 is 8210414.