Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6243/975, 2672/7426 quickly i.e. 16681296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6243/975, 2672/7426 is 16681296.
LCM(6243/975, 2672/7426) = 16681296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6243/975,2672/7426
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 6243,2672
Least Common Multiple of Numerators i.e. LCM of 6243,2672 is 16681296.
GCF of Denominators means GCF of 975,7426 as per the given fractions.
GCF of 975,7426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6243,2672
Given numbers has no common factors except 1. So, there LCM is their product i.e 16681296
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 6243,2672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6243,2672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6243,2672) x common factors =1 x 1 = 1
LCM(6243,2672) = ( 6243 × 2672 ) / 1
LCM(6243,2672) = 16681296 / 1
LCM(6243,2672) = 16681296
Lets's calculate GCF of 975,7426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16681296/1
Therefore the LCM of Fractions 6243/975,2672/7426 is 16681296
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 7426
List of positive integer factors of 7426 that divides 7426 without a remainder.
1,2,47,79,94,158,3713,7426
Greatest Common Factor
We found the factors 975,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 975,7426 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 6243/975, 2672/7426?
Answer: LCM of Numerators as per given numbers 6243/975, 2672/7426 is
LCM of Numerators i.e. for 6243,2672 is 16681296
GCF of denominators i.e. for 975,7426 is 1.
Thus, LCM of Fractions is 16681296.Finally, LCM of Fractions for 6243/975, 2672/7426 is 16681296.