Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/264, 1339/3377 quickly i.e. 109798/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/264, 1339/3377 is 109798/11.
LCM(82/264, 1339/3377) = 109798/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/264,1339/3377
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 82,1339
Least Common Multiple of Numerators i.e. LCM of 82,1339 is 109798.
GCF of Denominators means GCF of 264,3377 as per the given fractions.
GCF of 264,3377 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,1339
Given numbers has no common factors except 1. So, there LCM is their product i.e 109798
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 82,1339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,1339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,1339) x common factors =1 x 1 = 1
LCM(82,1339) = ( 82 × 1339 ) / 1
LCM(82,1339) = 109798 / 1
LCM(82,1339) = 109798
Lets's calculate GCF of 264,3377
11 | 264, 3377 |
24, 307 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109798/11
Therefore the LCM of Fractions 82/264,1339/3377 is 109798/11
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 3377
List of positive integer factors of 3377 that divides 3377 without a remainder.
1,11,307,3377
Greatest Common Factor
We found the factors 264,3377 . The biggest common factor number is the GCF number.
So the greatest common factor 264,3377 is 11.
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 82/264, 1339/3377?
Answer: LCM of Numerators as per given numbers 82/264, 1339/3377 is
LCM of Numerators i.e. for 82,1339 is 109798
GCF of denominators i.e. for 264,3377 is 11.
Thus, LCM of Fractions is 109798/11.Finally, LCM of Fractions for 82/264, 1339/3377 is 109798/11.