Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7157/215, 4946/223 quickly i.e. 35398522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7157/215, 4946/223 is 35398522.
LCM(7157/215, 4946/223) = 35398522
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7157/215,4946/223
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 7157,4946
Least Common Multiple of Numerators i.e. LCM of 7157,4946 is 35398522.
GCF of Denominators means GCF of 215,223 as per the given fractions.
GCF of 215,223 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7157,4946
Given numbers has no common factors except 1. So, there LCM is their product i.e 35398522
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 7157,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7157,4946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7157,4946) x common factors =1 x 1 = 1
LCM(7157,4946) = ( 7157 × 4946 ) / 1
LCM(7157,4946) = 35398522 / 1
LCM(7157,4946) = 35398522
Lets's calculate GCF of 215,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35398522/1
Therefore the LCM of Fractions 7157/215,4946/223 is 35398522
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Greatest Common Factor
We found the factors 215,223 . The biggest common factor number is the GCF number.
So the greatest common factor 215,223 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 7157/215, 4946/223?
Answer: LCM of Numerators as per given numbers 7157/215, 4946/223 is
LCM of Numerators i.e. for 7157,4946 is 35398522
GCF of denominators i.e. for 215,223 is 1.
Thus, LCM of Fractions is 35398522.Finally, LCM of Fractions for 7157/215, 4946/223 is 35398522.