Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/613, 91/228, 871/724 quickly i.e. 390208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/613, 91/228, 871/724 is 390208.
LCM(64/613, 91/228, 871/724) = 390208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/613,91/228,871/724
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 64,91,871
Least Common Multiple of Numerators i.e. LCM of 64,91,871 is 390208.
GCF of Denominators means GCF of 613,228,724 as per the given fractions.
GCF of 613,228,724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,91,871
13 | 64, 91, 871 |
64, 7, 67 |
∴ So the LCM of the given numbers is 13 x 64 x 7 x 67 = 390208
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 64,91,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,91,871) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(64,91,871) x common factors =1 x 13 = 13
LCM(64,91,871) = ( 64 × 91 × 871 ) / 13
LCM(64,91,871) = 5072704 / 13
LCM(64,91,871) = 390208
Lets's calculate GCF of 613,228,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390208/1
Therefore the LCM of Fractions 64/613,91/228,871/724 is 390208
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
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 613,228,724 . The biggest common factor number is the GCF number.
So the greatest common factor 613,228,724 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 64/613, 91/228, 871/724?
Answer: LCM of Numerators as per given numbers 64/613, 91/228, 871/724 is
LCM of Numerators i.e. for 64,91,871 is 390208
GCF of denominators i.e. for 613,228,724 is 1.
Thus, LCM of Fractions is 390208.Finally, LCM of Fractions for 64/613, 91/228, 871/724 is 390208.