Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6484/991, 9153/4267 quickly i.e. 59348052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6484/991, 9153/4267 is 59348052.
LCM(6484/991, 9153/4267) = 59348052
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6484/991,9153/4267
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 6484,9153
Least Common Multiple of Numerators i.e. LCM of 6484,9153 is 59348052.
GCF of Denominators means GCF of 991,4267 as per the given fractions.
GCF of 991,4267 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6484,9153
Given numbers has no common factors except 1. So, there LCM is their product i.e 59348052
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 6484,9153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6484,9153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6484,9153) x common factors =1 x 1 = 1
LCM(6484,9153) = ( 6484 × 9153 ) / 1
LCM(6484,9153) = 59348052 / 1
LCM(6484,9153) = 59348052
Lets's calculate GCF of 991,4267
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59348052/1
Therefore the LCM of Fractions 6484/991,9153/4267 is 59348052
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 4267
List of positive integer factors of 4267 that divides 4267 without a remainder.
1,17,251,4267
Greatest Common Factor
We found the factors 991,4267 . The biggest common factor number is the GCF number.
So the greatest common factor 991,4267 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 6484/991, 9153/4267?
Answer: LCM of Numerators as per given numbers 6484/991, 9153/4267 is
LCM of Numerators i.e. for 6484,9153 is 59348052
GCF of denominators i.e. for 991,4267 is 1.
Thus, LCM of Fractions is 59348052.Finally, LCM of Fractions for 6484/991, 9153/4267 is 59348052.