Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/50, 2/66, 47/81, 91/49 quickly i.e. 8554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/50, 2/66, 47/81, 91/49 is 8554.
LCM(7/50, 2/66, 47/81, 91/49) = 8554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/50,2/66,47/81,91/49
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 7,2,47,91
Least Common Multiple of Numerators i.e. LCM of 7,2,47,91 is 8554.
GCF of Denominators means GCF of 50,66,81,49 as per the given fractions.
GCF of 50,66,81,49 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,2,47,91
7 | 7, 2, 47, 91 |
1, 2, 47, 13 |
∴ So the LCM of the given numbers is 7 x 1 x 2 x 47 x 13 = 8554
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 7,2,47,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,2,47,91) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(7,2,47,91) x common factors =1 x 7 = 7
LCM(7,2,47,91) = ( 7 × 2 × 47 × 91 ) / 7
LCM(7,2,47,91) = 59878 / 7
LCM(7,2,47,91) = 8554
Lets's calculate GCF of 50,66,81,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8554/1
Therefore the LCM of Fractions 7/50,2/66,47/81,91/49 is 8554
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Greatest Common Factor
We found the factors 50,66,81,49 . The biggest common factor number is the GCF number.
So the greatest common factor 50,66,81,49 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 7/50, 2/66, 47/81, 91/49?
Answer: LCM of Numerators as per given numbers 7/50, 2/66, 47/81, 91/49 is
LCM of Numerators i.e. for 7,2,47,91 is 8554
GCF of denominators i.e. for 50,66,81,49 is 1.
Thus, LCM of Fractions is 8554.Finally, LCM of Fractions for 7/50, 2/66, 47/81, 91/49 is 8554.