Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 344/892, 2735/7295 quickly i.e. 940840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 344/892, 2735/7295 is 940840.
LCM(344/892, 2735/7295) = 940840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 344/892,2735/7295
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 344,2735
Least Common Multiple of Numerators i.e. LCM of 344,2735 is 940840.
GCF of Denominators means GCF of 892,7295 as per the given fractions.
GCF of 892,7295 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 344,2735
Given numbers has no common factors except 1. So, there LCM is their product i.e 940840
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 344,2735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,2735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,2735) x common factors =1 x 1 = 1
LCM(344,2735) = ( 344 × 2735 ) / 1
LCM(344,2735) = 940840 / 1
LCM(344,2735) = 940840
Lets's calculate GCF of 892,7295
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 940840/1
Therefore the LCM of Fractions 344/892,2735/7295 is 940840
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 7295
List of positive integer factors of 7295 that divides 7295 without a remainder.
1,5,1459,7295
Greatest Common Factor
We found the factors 892,7295 . The biggest common factor number is the GCF number.
So the greatest common factor 892,7295 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 344/892, 2735/7295?
Answer: LCM of Numerators as per given numbers 344/892, 2735/7295 is
LCM of Numerators i.e. for 344,2735 is 940840
GCF of denominators i.e. for 892,7295 is 1.
Thus, LCM of Fractions is 940840.Finally, LCM of Fractions for 344/892, 2735/7295 is 940840.