Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2742/852, 7420/7191 quickly i.e. 3390940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2742/852, 7420/7191 is 3390940.
LCM(2742/852, 7420/7191) = 3390940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2742/852,7420/7191
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 2742,7420
Least Common Multiple of Numerators i.e. LCM of 2742,7420 is 10172820.
GCF of Denominators means GCF of 852,7191 as per the given fractions.
GCF of 852,7191 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2742,7420
2 | 2742, 7420 |
1371, 3710 |
∴ So the LCM of the given numbers is 2 x 1371 x 3710 = 10172820
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 2742,7420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2742,7420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2742,7420) x common factors =2 x 1 = 2
LCM(2742,7420) = ( 2742 × 7420 ) / 2
LCM(2742,7420) = 20345640 / 2
LCM(2742,7420) = 10172820
Lets's calculate GCF of 852,7191
3 | 852, 7191 |
284, 2397 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10172820/3
Therefore the LCM of Fractions 2742/852,7420/7191 is 3390940
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 7191
List of positive integer factors of 7191 that divides 7191 without a remainder.
1,3,9,17,47,51,141,153,423,799,2397,7191
Greatest Common Factor
We found the factors 852,7191 . The biggest common factor number is the GCF number.
So the greatest common factor 852,7191 is 3.
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 2742/852, 7420/7191?
Answer: LCM of Numerators as per given numbers 2742/852, 7420/7191 is
LCM of Numerators i.e. for 2742,7420 is 10172820
GCF of denominators i.e. for 852,7191 is 3.
Thus, LCM of Fractions is 3390940.Finally, LCM of Fractions for 2742/852, 7420/7191 is 3390940.