Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3501/79, 5933/892 quickly i.e. 20771433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3501/79, 5933/892 is 20771433.
LCM(3501/79, 5933/892) = 20771433
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3501/79,5933/892
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 3501,5933
Least Common Multiple of Numerators i.e. LCM of 3501,5933 is 20771433.
GCF of Denominators means GCF of 79,892 as per the given fractions.
GCF of 79,892 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3501,5933
Given numbers has no common factors except 1. So, there LCM is their product i.e 20771433
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 3501,5933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3501,5933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3501,5933) x common factors =1 x 1 = 1
LCM(3501,5933) = ( 3501 × 5933 ) / 1
LCM(3501,5933) = 20771433 / 1
LCM(3501,5933) = 20771433
Lets's calculate GCF of 79,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20771433/1
Therefore the LCM of Fractions 3501/79,5933/892 is 20771433
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 79,892 . The biggest common factor number is the GCF number.
So the greatest common factor 79,892 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 3501/79, 5933/892?
Answer: LCM of Numerators as per given numbers 3501/79, 5933/892 is
LCM of Numerators i.e. for 3501,5933 is 20771433
GCF of denominators i.e. for 79,892 is 1.
Thus, LCM of Fractions is 20771433.Finally, LCM of Fractions for 3501/79, 5933/892 is 20771433.