Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/866, 7349/7011 quickly i.e. 213121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/866, 7349/7011 is 213121.
LCM(29/866, 7349/7011) = 213121
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/866,7349/7011
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 29,7349
Least Common Multiple of Numerators i.e. LCM of 29,7349 is 213121.
GCF of Denominators means GCF of 866,7011 as per the given fractions.
GCF of 866,7011 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,7349
Given numbers has no common factors except 1. So, there LCM is their product i.e 213121
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 29,7349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,7349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,7349) x common factors =1 x 1 = 1
LCM(29,7349) = ( 29 × 7349 ) / 1
LCM(29,7349) = 213121 / 1
LCM(29,7349) = 213121
Lets's calculate GCF of 866,7011
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213121/1
Therefore the LCM of Fractions 29/866,7349/7011 is 213121
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 7011
List of positive integer factors of 7011 that divides 7011 without a remainder.
1,3,9,19,41,57,123,171,369,779,2337,7011
Greatest Common Factor
We found the factors 866,7011 . The biggest common factor number is the GCF number.
So the greatest common factor 866,7011 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 29/866, 7349/7011?
Answer: LCM of Numerators as per given numbers 29/866, 7349/7011 is
LCM of Numerators i.e. for 29,7349 is 213121
GCF of denominators i.e. for 866,7011 is 1.
Thus, LCM of Fractions is 213121.Finally, LCM of Fractions for 29/866, 7349/7011 is 213121.