Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7561/167, 3976/9799 quickly i.e. 30062536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7561/167, 3976/9799 is 30062536.
LCM(7561/167, 3976/9799) = 30062536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7561/167,3976/9799
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 7561,3976
Least Common Multiple of Numerators i.e. LCM of 7561,3976 is 30062536.
GCF of Denominators means GCF of 167,9799 as per the given fractions.
GCF of 167,9799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7561,3976
Given numbers has no common factors except 1. So, there LCM is their product i.e 30062536
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 7561,3976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7561,3976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7561,3976) x common factors =1 x 1 = 1
LCM(7561,3976) = ( 7561 × 3976 ) / 1
LCM(7561,3976) = 30062536 / 1
LCM(7561,3976) = 30062536
Lets's calculate GCF of 167,9799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30062536/1
Therefore the LCM of Fractions 7561/167,3976/9799 is 30062536
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1,41,239,9799
Greatest Common Factor
We found the factors 167,9799 . The biggest common factor number is the GCF number.
So the greatest common factor 167,9799 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 7561/167, 3976/9799?
Answer: LCM of Numerators as per given numbers 7561/167, 3976/9799 is
LCM of Numerators i.e. for 7561,3976 is 30062536
GCF of denominators i.e. for 167,9799 is 1.
Thus, LCM of Fractions is 30062536.Finally, LCM of Fractions for 7561/167, 3976/9799 is 30062536.