Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9487/348, 6708/7541 quickly i.e. 63638796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9487/348, 6708/7541 is 63638796.
LCM(9487/348, 6708/7541) = 63638796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9487/348,6708/7541
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 9487,6708
Least Common Multiple of Numerators i.e. LCM of 9487,6708 is 63638796.
GCF of Denominators means GCF of 348,7541 as per the given fractions.
GCF of 348,7541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9487,6708
Given numbers has no common factors except 1. So, there LCM is their product i.e 63638796
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 9487,6708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9487,6708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9487,6708) x common factors =1 x 1 = 1
LCM(9487,6708) = ( 9487 × 6708 ) / 1
LCM(9487,6708) = 63638796 / 1
LCM(9487,6708) = 63638796
Lets's calculate GCF of 348,7541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63638796/1
Therefore the LCM of Fractions 9487/348,6708/7541 is 63638796
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 7541
List of positive integer factors of 7541 that divides 7541 without a remainder.
1,7541
Greatest Common Factor
We found the factors 348,7541 . The biggest common factor number is the GCF number.
So the greatest common factor 348,7541 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 9487/348, 6708/7541?
Answer: LCM of Numerators as per given numbers 9487/348, 6708/7541 is
LCM of Numerators i.e. for 9487,6708 is 63638796
GCF of denominators i.e. for 348,7541 is 1.
Thus, LCM of Fractions is 63638796.Finally, LCM of Fractions for 9487/348, 6708/7541 is 63638796.