Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2735/247, 3206/719 quickly i.e. 8768410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2735/247, 3206/719 is 8768410.
LCM(2735/247, 3206/719) = 8768410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2735/247,3206/719
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 2735,3206
Least Common Multiple of Numerators i.e. LCM of 2735,3206 is 8768410.
GCF of Denominators means GCF of 247,719 as per the given fractions.
GCF of 247,719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2735,3206
Given numbers has no common factors except 1. So, there LCM is their product i.e 8768410
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 2735,3206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2735,3206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2735,3206) x common factors =1 x 1 = 1
LCM(2735,3206) = ( 2735 × 3206 ) / 1
LCM(2735,3206) = 8768410 / 1
LCM(2735,3206) = 8768410
Lets's calculate GCF of 247,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8768410/1
Therefore the LCM of Fractions 2735/247,3206/719 is 8768410
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 247,719 . The biggest common factor number is the GCF number.
So the greatest common factor 247,719 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 2735/247, 3206/719?
Answer: LCM of Numerators as per given numbers 2735/247, 3206/719 is
LCM of Numerators i.e. for 2735,3206 is 8768410
GCF of denominators i.e. for 247,719 is 1.
Thus, LCM of Fractions is 8768410.Finally, LCM of Fractions for 2735/247, 3206/719 is 8768410.