Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2034/40, 5279/143 quickly i.e. 10737486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2034/40, 5279/143 is 10737486.
LCM(2034/40, 5279/143) = 10737486
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2034/40,5279/143
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 2034,5279
Least Common Multiple of Numerators i.e. LCM of 2034,5279 is 10737486.
GCF of Denominators means GCF of 40,143 as per the given fractions.
GCF of 40,143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2034,5279
Given numbers has no common factors except 1. So, there LCM is their product i.e 10737486
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 2034,5279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2034,5279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2034,5279) x common factors =1 x 1 = 1
LCM(2034,5279) = ( 2034 × 5279 ) / 1
LCM(2034,5279) = 10737486 / 1
LCM(2034,5279) = 10737486
Lets's calculate GCF of 40,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10737486/1
Therefore the LCM of Fractions 2034/40,5279/143 is 10737486
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 40,143 . The biggest common factor number is the GCF number.
So the greatest common factor 40,143 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 2034/40, 5279/143?
Answer: LCM of Numerators as per given numbers 2034/40, 5279/143 is
LCM of Numerators i.e. for 2034,5279 is 10737486
GCF of denominators i.e. for 40,143 is 1.
Thus, LCM of Fractions is 10737486.Finally, LCM of Fractions for 2034/40, 5279/143 is 10737486.