Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 761/914, 2317/2927 quickly i.e. 1763237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 761/914, 2317/2927 is 1763237.
LCM(761/914, 2317/2927) = 1763237
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 761/914,2317/2927
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 761,2317
Least Common Multiple of Numerators i.e. LCM of 761,2317 is 1763237.
GCF of Denominators means GCF of 914,2927 as per the given fractions.
GCF of 914,2927 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 761,2317
Given numbers has no common factors except 1. So, there LCM is their product i.e 1763237
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 761,2317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,2317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,2317) x common factors =1 x 1 = 1
LCM(761,2317) = ( 761 × 2317 ) / 1
LCM(761,2317) = 1763237 / 1
LCM(761,2317) = 1763237
Lets's calculate GCF of 914,2927
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1763237/1
Therefore the LCM of Fractions 761/914,2317/2927 is 1763237
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 2927
List of positive integer factors of 2927 that divides 2927 without a remainder.
1,2927
Greatest Common Factor
We found the factors 914,2927 . The biggest common factor number is the GCF number.
So the greatest common factor 914,2927 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 761/914, 2317/2927?
Answer: LCM of Numerators as per given numbers 761/914, 2317/2927 is
LCM of Numerators i.e. for 761,2317 is 1763237
GCF of denominators i.e. for 914,2927 is 1.
Thus, LCM of Fractions is 1763237.Finally, LCM of Fractions for 761/914, 2317/2927 is 1763237.