Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6844/66, 7349/339 quickly i.e. 50296556/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6844/66, 7349/339 is 50296556/3.
LCM(6844/66, 7349/339) = 50296556/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6844/66,7349/339
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 6844,7349
Least Common Multiple of Numerators i.e. LCM of 6844,7349 is 50296556.
GCF of Denominators means GCF of 66,339 as per the given fractions.
GCF of 66,339 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6844,7349
Given numbers has no common factors except 1. So, there LCM is their product i.e 50296556
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 6844,7349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6844,7349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6844,7349) x common factors =1 x 1 = 1
LCM(6844,7349) = ( 6844 × 7349 ) / 1
LCM(6844,7349) = 50296556 / 1
LCM(6844,7349) = 50296556
Lets's calculate GCF of 66,339
3 | 66, 339 |
22, 113 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50296556/3
Therefore the LCM of Fractions 6844/66,7349/339 is 50296556/3
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 66,339 . The biggest common factor number is the GCF number.
So the greatest common factor 66,339 is 3.
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 6844/66, 7349/339?
Answer: LCM of Numerators as per given numbers 6844/66, 7349/339 is
LCM of Numerators i.e. for 6844,7349 is 50296556
GCF of denominators i.e. for 66,339 is 3.
Thus, LCM of Fractions is 50296556/3.Finally, LCM of Fractions for 6844/66, 7349/339 is 50296556/3.