Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4693/292, 8053/3221 quickly i.e. 37792729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4693/292, 8053/3221 is 37792729.
LCM(4693/292, 8053/3221) = 37792729
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4693/292,8053/3221
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 4693,8053
Least Common Multiple of Numerators i.e. LCM of 4693,8053 is 37792729.
GCF of Denominators means GCF of 292,3221 as per the given fractions.
GCF of 292,3221 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4693,8053
Given numbers has no common factors except 1. So, there LCM is their product i.e 37792729
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 4693,8053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4693,8053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4693,8053) x common factors =1 x 1 = 1
LCM(4693,8053) = ( 4693 × 8053 ) / 1
LCM(4693,8053) = 37792729 / 1
LCM(4693,8053) = 37792729
Lets's calculate GCF of 292,3221
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37792729/1
Therefore the LCM of Fractions 4693/292,8053/3221 is 37792729
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 3221
List of positive integer factors of 3221 that divides 3221 without a remainder.
1,3221
Greatest Common Factor
We found the factors 292,3221 . The biggest common factor number is the GCF number.
So the greatest common factor 292,3221 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 4693/292, 8053/3221?
Answer: LCM of Numerators as per given numbers 4693/292, 8053/3221 is
LCM of Numerators i.e. for 4693,8053 is 37792729
GCF of denominators i.e. for 292,3221 is 1.
Thus, LCM of Fractions is 37792729.Finally, LCM of Fractions for 4693/292, 8053/3221 is 37792729.