Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/25, 93/56, 991/748 quickly i.e. 4331661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/25, 93/56, 991/748 is 4331661.
LCM(47/25, 93/56, 991/748) = 4331661
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/25,93/56,991/748
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 47,93,991
Least Common Multiple of Numerators i.e. LCM of 47,93,991 is 4331661.
GCF of Denominators means GCF of 25,56,748 as per the given fractions.
GCF of 25,56,748 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,93,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 4331661
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 47,93,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,93,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,93,991) x common factors =1 x 1 = 1
LCM(47,93,991) = ( 47 × 93 × 991 ) / 1
LCM(47,93,991) = 4331661 / 1
LCM(47,93,991) = 4331661
Lets's calculate GCF of 25,56,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4331661/1
Therefore the LCM of Fractions 47/25,93/56,991/748 is 4331661
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 25,56,748 . The biggest common factor number is the GCF number.
So the greatest common factor 25,56,748 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 47/25, 93/56, 991/748?
Answer: LCM of Numerators as per given numbers 47/25, 93/56, 991/748 is
LCM of Numerators i.e. for 47,93,991 is 4331661
GCF of denominators i.e. for 25,56,748 is 1.
Thus, LCM of Fractions is 4331661.Finally, LCM of Fractions for 47/25, 93/56, 991/748 is 4331661.