Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/61, 944/73, 545/868 quickly i.e. 29325360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/61, 944/73, 545/868 is 29325360.
LCM(57/61, 944/73, 545/868) = 29325360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/61,944/73,545/868
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 57,944,545
Least Common Multiple of Numerators i.e. LCM of 57,944,545 is 29325360.
GCF of Denominators means GCF of 61,73,868 as per the given fractions.
GCF of 61,73,868 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,944,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 29325360
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 57,944,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,944,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,944,545) x common factors =1 x 1 = 1
LCM(57,944,545) = ( 57 × 944 × 545 ) / 1
LCM(57,944,545) = 29325360 / 1
LCM(57,944,545) = 29325360
Lets's calculate GCF of 61,73,868
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29325360/1
Therefore the LCM of Fractions 57/61,944/73,545/868 is 29325360
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 61,73,868 . The biggest common factor number is the GCF number.
So the greatest common factor 61,73,868 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 57/61, 944/73, 545/868?
Answer: LCM of Numerators as per given numbers 57/61, 944/73, 545/868 is
LCM of Numerators i.e. for 57,944,545 is 29325360
GCF of denominators i.e. for 61,73,868 is 1.
Thus, LCM of Fractions is 29325360.Finally, LCM of Fractions for 57/61, 944/73, 545/868 is 29325360.