Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 211/76, 8285/138 quickly i.e. 1748135/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 211/76, 8285/138 is 1748135/2.
LCM(211/76, 8285/138) = 1748135/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 211/76,8285/138
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 211,8285
Least Common Multiple of Numerators i.e. LCM of 211,8285 is 1748135.
GCF of Denominators means GCF of 76,138 as per the given fractions.
GCF of 76,138 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 211,8285
Given numbers has no common factors except 1. So, there LCM is their product i.e 1748135
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 211,8285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,8285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,8285) x common factors =1 x 1 = 1
LCM(211,8285) = ( 211 × 8285 ) / 1
LCM(211,8285) = 1748135 / 1
LCM(211,8285) = 1748135
Lets's calculate GCF of 76,138
2 | 76, 138 |
38, 69 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1748135/2
Therefore the LCM of Fractions 211/76,8285/138 is 1748135/2
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 76,138 . The biggest common factor number is the GCF number.
So the greatest common factor 76,138 is 2.
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 211/76, 8285/138?
Answer: LCM of Numerators as per given numbers 211/76, 8285/138 is
LCM of Numerators i.e. for 211,8285 is 1748135
GCF of denominators i.e. for 76,138 is 2.
Thus, LCM of Fractions is 1748135/2.Finally, LCM of Fractions for 211/76, 8285/138 is 1748135/2.