Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 255/724, 1741/923 quickly i.e. 443955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 255/724, 1741/923 is 443955.
LCM(255/724, 1741/923) = 443955
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 255/724,1741/923
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 255,1741
Least Common Multiple of Numerators i.e. LCM of 255,1741 is 443955.
GCF of Denominators means GCF of 724,923 as per the given fractions.
GCF of 724,923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 255,1741
Given numbers has no common factors except 1. So, there LCM is their product i.e 443955
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 255,1741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,1741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,1741) x common factors =1 x 1 = 1
LCM(255,1741) = ( 255 × 1741 ) / 1
LCM(255,1741) = 443955 / 1
LCM(255,1741) = 443955
Lets's calculate GCF of 724,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443955/1
Therefore the LCM of Fractions 255/724,1741/923 is 443955
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 724,923 . The biggest common factor number is the GCF number.
So the greatest common factor 724,923 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 255/724, 1741/923?
Answer: LCM of Numerators as per given numbers 255/724, 1741/923 is
LCM of Numerators i.e. for 255,1741 is 443955
GCF of denominators i.e. for 724,923 is 1.
Thus, LCM of Fractions is 443955.Finally, LCM of Fractions for 255/724, 1741/923 is 443955.