Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5943/647, 3746/109 quickly i.e. 22262478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5943/647, 3746/109 is 22262478.
LCM(5943/647, 3746/109) = 22262478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5943/647,3746/109
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 5943,3746
Least Common Multiple of Numerators i.e. LCM of 5943,3746 is 22262478.
GCF of Denominators means GCF of 647,109 as per the given fractions.
GCF of 647,109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5943,3746
Given numbers has no common factors except 1. So, there LCM is their product i.e 22262478
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 5943,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5943,3746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5943,3746) x common factors =1 x 1 = 1
LCM(5943,3746) = ( 5943 × 3746 ) / 1
LCM(5943,3746) = 22262478 / 1
LCM(5943,3746) = 22262478
Lets's calculate GCF of 647,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22262478/1
Therefore the LCM of Fractions 5943/647,3746/109 is 22262478
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 647,109 . The biggest common factor number is the GCF number.
So the greatest common factor 647,109 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 5943/647, 3746/109?
Answer: LCM of Numerators as per given numbers 5943/647, 3746/109 is
LCM of Numerators i.e. for 5943,3746 is 22262478
GCF of denominators i.e. for 647,109 is 1.
Thus, LCM of Fractions is 22262478.Finally, LCM of Fractions for 5943/647, 3746/109 is 22262478.