Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/926, 4222/8231 quickly i.e. 198434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/926, 4222/8231 is 198434.
LCM(47/926, 4222/8231) = 198434
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/926,4222/8231
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 47,4222
Least Common Multiple of Numerators i.e. LCM of 47,4222 is 198434.
GCF of Denominators means GCF of 926,8231 as per the given fractions.
GCF of 926,8231 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,4222
Given numbers has no common factors except 1. So, there LCM is their product i.e 198434
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 47,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,4222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,4222) x common factors =1 x 1 = 1
LCM(47,4222) = ( 47 × 4222 ) / 1
LCM(47,4222) = 198434 / 1
LCM(47,4222) = 198434
Lets's calculate GCF of 926,8231
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198434/1
Therefore the LCM of Fractions 47/926,4222/8231 is 198434
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 8231
List of positive integer factors of 8231 that divides 8231 without a remainder.
1,8231
Greatest Common Factor
We found the factors 926,8231 . The biggest common factor number is the GCF number.
So the greatest common factor 926,8231 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 47/926, 4222/8231?
Answer: LCM of Numerators as per given numbers 47/926, 4222/8231 is
LCM of Numerators i.e. for 47,4222 is 198434
GCF of denominators i.e. for 926,8231 is 1.
Thus, LCM of Fractions is 198434.Finally, LCM of Fractions for 47/926, 4222/8231 is 198434.