Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 941/42, 102/7561 quickly i.e. 95982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 941/42, 102/7561 is 95982.
LCM(941/42, 102/7561) = 95982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 941/42,102/7561
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 941,102
Least Common Multiple of Numerators i.e. LCM of 941,102 is 95982.
GCF of Denominators means GCF of 42,7561 as per the given fractions.
GCF of 42,7561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 941,102
Given numbers has no common factors except 1. So, there LCM is their product i.e 95982
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 941,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,102) x common factors =1 x 1 = 1
LCM(941,102) = ( 941 × 102 ) / 1
LCM(941,102) = 95982 / 1
LCM(941,102) = 95982
Lets's calculate GCF of 42,7561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95982/1
Therefore the LCM of Fractions 941/42,102/7561 is 95982
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 7561
List of positive integer factors of 7561 that divides 7561 without a remainder.
1,7561
Greatest Common Factor
We found the factors 42,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7561 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 941/42, 102/7561?
Answer: LCM of Numerators as per given numbers 941/42, 102/7561 is
LCM of Numerators i.e. for 941,102 is 95982
GCF of denominators i.e. for 42,7561 is 1.
Thus, LCM of Fractions is 95982.Finally, LCM of Fractions for 941/42, 102/7561 is 95982.