Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 121/24, 746/8877 quickly i.e. 90266/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 121/24, 746/8877 is 90266/3.
LCM(121/24, 746/8877) = 90266/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 121/24,746/8877
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 121,746
Least Common Multiple of Numerators i.e. LCM of 121,746 is 90266.
GCF of Denominators means GCF of 24,8877 as per the given fractions.
GCF of 24,8877 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 121,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 90266
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 121,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,746) x common factors =1 x 1 = 1
LCM(121,746) = ( 121 × 746 ) / 1
LCM(121,746) = 90266 / 1
LCM(121,746) = 90266
Lets's calculate GCF of 24,8877
3 | 24, 8877 |
8, 2959 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90266/3
Therefore the LCM of Fractions 121/24,746/8877 is 90266/3
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 8877
List of positive integer factors of 8877 that divides 8877 without a remainder.
1,3,11,33,269,807,2959,8877
Greatest Common Factor
We found the factors 24,8877 . The biggest common factor number is the GCF number.
So the greatest common factor 24,8877 is 3.
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 121/24, 746/8877?
Answer: LCM of Numerators as per given numbers 121/24, 746/8877 is
LCM of Numerators i.e. for 121,746 is 90266
GCF of denominators i.e. for 24,8877 is 3.
Thus, LCM of Fractions is 90266/3.Finally, LCM of Fractions for 121/24, 746/8877 is 90266/3.