Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/472, 2726/6749 quickly i.e. 1311206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/472, 2726/6749 is 1311206.
LCM(481/472, 2726/6749) = 1311206
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/472,2726/6749
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 481,2726
Least Common Multiple of Numerators i.e. LCM of 481,2726 is 1311206.
GCF of Denominators means GCF of 472,6749 as per the given fractions.
GCF of 472,6749 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,2726
Given numbers has no common factors except 1. So, there LCM is their product i.e 1311206
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 481,2726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,2726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,2726) x common factors =1 x 1 = 1
LCM(481,2726) = ( 481 × 2726 ) / 1
LCM(481,2726) = 1311206 / 1
LCM(481,2726) = 1311206
Lets's calculate GCF of 472,6749
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1311206/1
Therefore the LCM of Fractions 481/472,2726/6749 is 1311206
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 6749
List of positive integer factors of 6749 that divides 6749 without a remainder.
1,17,397,6749
Greatest Common Factor
We found the factors 472,6749 . The biggest common factor number is the GCF number.
So the greatest common factor 472,6749 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 481/472, 2726/6749?
Answer: LCM of Numerators as per given numbers 481/472, 2726/6749 is
LCM of Numerators i.e. for 481,2726 is 1311206
GCF of denominators i.e. for 472,6749 is 1.
Thus, LCM of Fractions is 1311206.Finally, LCM of Fractions for 481/472, 2726/6749 is 1311206.