Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7703/918, 1249/3799 quickly i.e. 9621047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7703/918, 1249/3799 is 9621047.
LCM(7703/918, 1249/3799) = 9621047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7703/918,1249/3799
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 7703,1249
Least Common Multiple of Numerators i.e. LCM of 7703,1249 is 9621047.
GCF of Denominators means GCF of 918,3799 as per the given fractions.
GCF of 918,3799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7703,1249
Given numbers has no common factors except 1. So, there LCM is their product i.e 9621047
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 7703,1249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7703,1249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7703,1249) x common factors =1 x 1 = 1
LCM(7703,1249) = ( 7703 × 1249 ) / 1
LCM(7703,1249) = 9621047 / 1
LCM(7703,1249) = 9621047
Lets's calculate GCF of 918,3799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9621047/1
Therefore the LCM of Fractions 7703/918,1249/3799 is 9621047
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 3799
List of positive integer factors of 3799 that divides 3799 without a remainder.
1,29,131,3799
Greatest Common Factor
We found the factors 918,3799 . The biggest common factor number is the GCF number.
So the greatest common factor 918,3799 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 7703/918, 1249/3799?
Answer: LCM of Numerators as per given numbers 7703/918, 1249/3799 is
LCM of Numerators i.e. for 7703,1249 is 9621047
GCF of denominators i.e. for 918,3799 is 1.
Thus, LCM of Fractions is 9621047.Finally, LCM of Fractions for 7703/918, 1249/3799 is 9621047.