Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/845, 2347/1681 quickly i.e. 100921 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/845, 2347/1681 is 100921.
LCM(43/845, 2347/1681) = 100921
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/845,2347/1681
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 43,2347
Least Common Multiple of Numerators i.e. LCM of 43,2347 is 100921.
GCF of Denominators means GCF of 845,1681 as per the given fractions.
GCF of 845,1681 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,2347
Given numbers has no common factors except 1. So, there LCM is their product i.e 100921
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 43,2347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,2347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,2347) x common factors =1 x 1 = 1
LCM(43,2347) = ( 43 × 2347 ) / 1
LCM(43,2347) = 100921 / 1
LCM(43,2347) = 100921
Lets's calculate GCF of 845,1681
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100921/1
Therefore the LCM of Fractions 43/845,2347/1681 is 100921
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 1681
List of positive integer factors of 1681 that divides 1681 without a remainder.
1,41,1681
Greatest Common Factor
We found the factors 845,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 845,1681 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 43/845, 2347/1681?
Answer: LCM of Numerators as per given numbers 43/845, 2347/1681 is
LCM of Numerators i.e. for 43,2347 is 100921
GCF of denominators i.e. for 845,1681 is 1.
Thus, LCM of Fractions is 100921.Finally, LCM of Fractions for 43/845, 2347/1681 is 100921.