Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9266/742, 4957/9881 quickly i.e. 45931562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9266/742, 4957/9881 is 45931562.
LCM(9266/742, 4957/9881) = 45931562
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9266/742,4957/9881
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 9266,4957
Least Common Multiple of Numerators i.e. LCM of 9266,4957 is 45931562.
GCF of Denominators means GCF of 742,9881 as per the given fractions.
GCF of 742,9881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9266,4957
Given numbers has no common factors except 1. So, there LCM is their product i.e 45931562
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 9266,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9266,4957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9266,4957) x common factors =1 x 1 = 1
LCM(9266,4957) = ( 9266 × 4957 ) / 1
LCM(9266,4957) = 45931562 / 1
LCM(9266,4957) = 45931562
Lets's calculate GCF of 742,9881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45931562/1
Therefore the LCM of Fractions 9266/742,4957/9881 is 45931562
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 9881
List of positive integer factors of 9881 that divides 9881 without a remainder.
1,41,241,9881
Greatest Common Factor
We found the factors 742,9881 . The biggest common factor number is the GCF number.
So the greatest common factor 742,9881 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 9266/742, 4957/9881?
Answer: LCM of Numerators as per given numbers 9266/742, 4957/9881 is
LCM of Numerators i.e. for 9266,4957 is 45931562
GCF of denominators i.e. for 742,9881 is 1.
Thus, LCM of Fractions is 45931562.Finally, LCM of Fractions for 9266/742, 4957/9881 is 45931562.