Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 221/27, 716/7703 quickly i.e. 158236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 221/27, 716/7703 is 158236.
LCM(221/27, 716/7703) = 158236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 221/27,716/7703
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 221,716
Least Common Multiple of Numerators i.e. LCM of 221,716 is 158236.
GCF of Denominators means GCF of 27,7703 as per the given fractions.
GCF of 27,7703 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 221,716
Given numbers has no common factors except 1. So, there LCM is their product i.e 158236
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 221,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,716) x common factors =1 x 1 = 1
LCM(221,716) = ( 221 × 716 ) / 1
LCM(221,716) = 158236 / 1
LCM(221,716) = 158236
Lets's calculate GCF of 27,7703
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158236/1
Therefore the LCM of Fractions 221/27,716/7703 is 158236
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 7703
List of positive integer factors of 7703 that divides 7703 without a remainder.
1,7703
Greatest Common Factor
We found the factors 27,7703 . The biggest common factor number is the GCF number.
So the greatest common factor 27,7703 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 221/27, 716/7703?
Answer: LCM of Numerators as per given numbers 221/27, 716/7703 is
LCM of Numerators i.e. for 221,716 is 158236
GCF of denominators i.e. for 27,7703 is 1.
Thus, LCM of Fractions is 158236.Finally, LCM of Fractions for 221/27, 716/7703 is 158236.