Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 407/424, 8132/203 quickly i.e. 3309724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 407/424, 8132/203 is 3309724.
LCM(407/424, 8132/203) = 3309724
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 407/424,8132/203
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 407,8132
Least Common Multiple of Numerators i.e. LCM of 407,8132 is 3309724.
GCF of Denominators means GCF of 424,203 as per the given fractions.
GCF of 424,203 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 407,8132
Given numbers has no common factors except 1. So, there LCM is their product i.e 3309724
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 407,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,8132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,8132) x common factors =1 x 1 = 1
LCM(407,8132) = ( 407 × 8132 ) / 1
LCM(407,8132) = 3309724 / 1
LCM(407,8132) = 3309724
Lets's calculate GCF of 424,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3309724/1
Therefore the LCM of Fractions 407/424,8132/203 is 3309724
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 424,203 . The biggest common factor number is the GCF number.
So the greatest common factor 424,203 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 407/424, 8132/203?
Answer: LCM of Numerators as per given numbers 407/424, 8132/203 is
LCM of Numerators i.e. for 407,8132 is 3309724
GCF of denominators i.e. for 424,203 is 1.
Thus, LCM of Fractions is 3309724.Finally, LCM of Fractions for 407/424, 8132/203 is 3309724.