Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 569/21, 479/27, 944/824 quickly i.e. 257288144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 569/21, 479/27, 944/824 is 257288144.
LCM(569/21, 479/27, 944/824) = 257288144
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 569/21,479/27,944/824
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 569,479,944
Least Common Multiple of Numerators i.e. LCM of 569,479,944 is 257288144.
GCF of Denominators means GCF of 21,27,824 as per the given fractions.
GCF of 21,27,824 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 569,479,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 257288144
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 569,479,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,479,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,479,944) x common factors =1 x 1 = 1
LCM(569,479,944) = ( 569 × 479 × 944 ) / 1
LCM(569,479,944) = 257288144 / 1
LCM(569,479,944) = 257288144
Lets's calculate GCF of 21,27,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257288144/1
Therefore the LCM of Fractions 569/21,479/27,944/824 is 257288144
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 21,27,824 . The biggest common factor number is the GCF number.
So the greatest common factor 21,27,824 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 569/21, 479/27, 944/824?
Answer: LCM of Numerators as per given numbers 569/21, 479/27, 944/824 is
LCM of Numerators i.e. for 569,479,944 is 257288144
GCF of denominators i.e. for 21,27,824 is 1.
Thus, LCM of Fractions is 257288144.Finally, LCM of Fractions for 569/21, 479/27, 944/824 is 257288144.