Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 932/206, 1755/749 quickly i.e. 1635660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 932/206, 1755/749 is 1635660.
LCM(932/206, 1755/749) = 1635660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 932/206,1755/749
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 932,1755
Least Common Multiple of Numerators i.e. LCM of 932,1755 is 1635660.
GCF of Denominators means GCF of 206,749 as per the given fractions.
GCF of 206,749 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 932,1755
Given numbers has no common factors except 1. So, there LCM is their product i.e 1635660
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 932,1755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,1755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,1755) x common factors =1 x 1 = 1
LCM(932,1755) = ( 932 × 1755 ) / 1
LCM(932,1755) = 1635660 / 1
LCM(932,1755) = 1635660
Lets's calculate GCF of 206,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1635660/1
Therefore the LCM of Fractions 932/206,1755/749 is 1635660
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 206,749 . The biggest common factor number is the GCF number.
So the greatest common factor 206,749 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 932/206, 1755/749?
Answer: LCM of Numerators as per given numbers 932/206, 1755/749 is
LCM of Numerators i.e. for 932,1755 is 1635660
GCF of denominators i.e. for 206,749 is 1.
Thus, LCM of Fractions is 1635660.Finally, LCM of Fractions for 932/206, 1755/749 is 1635660.