Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/55, 48/37, 67/67, 81/424 quickly i.e. 7901712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/55, 48/37, 67/67, 81/424 is 7901712.
LCM(91/55, 48/37, 67/67, 81/424) = 7901712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/55,48/37,67/67,81/424
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 91,48,67,81
Least Common Multiple of Numerators i.e. LCM of 91,48,67,81 is 7901712.
GCF of Denominators means GCF of 55,37,67,424 as per the given fractions.
GCF of 55,37,67,424 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,48,67,81
3 | 91, 48, 67, 81 |
91, 16, 67, 27 |
∴ So the LCM of the given numbers is 3 x 91 x 16 x 67 x 27 = 7901712
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 91,48,67,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,48,67,81) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(91,48,67,81) x common factors =1 x 3 = 3
LCM(91,48,67,81) = ( 91 × 48 × 67 × 81 ) / 3
LCM(91,48,67,81) = 23705136 / 3
LCM(91,48,67,81) = 7901712
Lets's calculate GCF of 55,37,67,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7901712/1
Therefore the LCM of Fractions 91/55,48/37,67/67,81/424 is 7901712
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 55,37,67,424 . The biggest common factor number is the GCF number.
So the greatest common factor 55,37,67,424 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 91/55, 48/37, 67/67, 81/424?
Answer: LCM of Numerators as per given numbers 91/55, 48/37, 67/67, 81/424 is
LCM of Numerators i.e. for 91,48,67,81 is 7901712
GCF of denominators i.e. for 55,37,67,424 is 1.
Thus, LCM of Fractions is 7901712.Finally, LCM of Fractions for 91/55, 48/37, 67/67, 81/424 is 7901712.