Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 434/721, 4251/724 quickly i.e. 1844934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 434/721, 4251/724 is 1844934.
LCM(434/721, 4251/724) = 1844934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 434/721,4251/724
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 434,4251
Least Common Multiple of Numerators i.e. LCM of 434,4251 is 1844934.
GCF of Denominators means GCF of 721,724 as per the given fractions.
GCF of 721,724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 434,4251
Given numbers has no common factors except 1. So, there LCM is their product i.e 1844934
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 434,4251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,4251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,4251) x common factors =1 x 1 = 1
LCM(434,4251) = ( 434 × 4251 ) / 1
LCM(434,4251) = 1844934 / 1
LCM(434,4251) = 1844934
Lets's calculate GCF of 721,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1844934/1
Therefore the LCM of Fractions 434/721,4251/724 is 1844934
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 721,724 . The biggest common factor number is the GCF number.
So the greatest common factor 721,724 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 434/721, 4251/724?
Answer: LCM of Numerators as per given numbers 434/721, 4251/724 is
LCM of Numerators i.e. for 434,4251 is 1844934
GCF of denominators i.e. for 721,724 is 1.
Thus, LCM of Fractions is 1844934.Finally, LCM of Fractions for 434/721, 4251/724 is 1844934.