Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/701, 2531/7043 quickly i.e. 136674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/701, 2531/7043 is 136674.
LCM(54/701, 2531/7043) = 136674
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/701,2531/7043
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 54,2531
Least Common Multiple of Numerators i.e. LCM of 54,2531 is 136674.
GCF of Denominators means GCF of 701,7043 as per the given fractions.
GCF of 701,7043 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,2531
Given numbers has no common factors except 1. So, there LCM is their product i.e 136674
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 54,2531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,2531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,2531) x common factors =1 x 1 = 1
LCM(54,2531) = ( 54 × 2531 ) / 1
LCM(54,2531) = 136674 / 1
LCM(54,2531) = 136674
Lets's calculate GCF of 701,7043
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136674/1
Therefore the LCM of Fractions 54/701,2531/7043 is 136674
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 7043
List of positive integer factors of 7043 that divides 7043 without a remainder.
1,7043
Greatest Common Factor
We found the factors 701,7043 . The biggest common factor number is the GCF number.
So the greatest common factor 701,7043 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 54/701, 2531/7043?
Answer: LCM of Numerators as per given numbers 54/701, 2531/7043 is
LCM of Numerators i.e. for 54,2531 is 136674
GCF of denominators i.e. for 701,7043 is 1.
Thus, LCM of Fractions is 136674.Finally, LCM of Fractions for 54/701, 2531/7043 is 136674.