Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/993, 94/615, 321/824 quickly i.e. 935394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/993, 94/615, 321/824 is 935394.
LCM(31/993, 94/615, 321/824) = 935394
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/993,94/615,321/824
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 31,94,321
Least Common Multiple of Numerators i.e. LCM of 31,94,321 is 935394.
GCF of Denominators means GCF of 993,615,824 as per the given fractions.
GCF of 993,615,824 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,94,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 935394
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 31,94,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,94,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,94,321) x common factors =1 x 1 = 1
LCM(31,94,321) = ( 31 × 94 × 321 ) / 1
LCM(31,94,321) = 935394 / 1
LCM(31,94,321) = 935394
Lets's calculate GCF of 993,615,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 935394/1
Therefore the LCM of Fractions 31/993,94/615,321/824 is 935394
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
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 993,615,824 . The biggest common factor number is the GCF number.
So the greatest common factor 993,615,824 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 31/993, 94/615, 321/824?
Answer: LCM of Numerators as per given numbers 31/993, 94/615, 321/824 is
LCM of Numerators i.e. for 31,94,321 is 935394
GCF of denominators i.e. for 993,615,824 is 1.
Thus, LCM of Fractions is 935394.Finally, LCM of Fractions for 31/993, 94/615, 321/824 is 935394.