Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3777/950, 4532/683 quickly i.e. 17117364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3777/950, 4532/683 is 17117364.
LCM(3777/950, 4532/683) = 17117364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3777/950,4532/683
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 3777,4532
Least Common Multiple of Numerators i.e. LCM of 3777,4532 is 17117364.
GCF of Denominators means GCF of 950,683 as per the given fractions.
GCF of 950,683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3777,4532
Given numbers has no common factors except 1. So, there LCM is their product i.e 17117364
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 3777,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3777,4532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3777,4532) x common factors =1 x 1 = 1
LCM(3777,4532) = ( 3777 × 4532 ) / 1
LCM(3777,4532) = 17117364 / 1
LCM(3777,4532) = 17117364
Lets's calculate GCF of 950,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17117364/1
Therefore the LCM of Fractions 3777/950,4532/683 is 17117364
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Greatest Common Factor
We found the factors 950,683 . The biggest common factor number is the GCF number.
So the greatest common factor 950,683 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 3777/950, 4532/683?
Answer: LCM of Numerators as per given numbers 3777/950, 4532/683 is
LCM of Numerators i.e. for 3777,4532 is 17117364
GCF of denominators i.e. for 950,683 is 1.
Thus, LCM of Fractions is 17117364.Finally, LCM of Fractions for 3777/950, 4532/683 is 17117364.