Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9327/27, 4708/672 quickly i.e. 14637172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9327/27, 4708/672 is 14637172.
LCM(9327/27, 4708/672) = 14637172
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9327/27,4708/672
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 9327,4708
Least Common Multiple of Numerators i.e. LCM of 9327,4708 is 43911516.
GCF of Denominators means GCF of 27,672 as per the given fractions.
GCF of 27,672 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9327,4708
Given numbers has no common factors except 1. So, there LCM is their product i.e 43911516
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 9327,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9327,4708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9327,4708) x common factors =1 x 1 = 1
LCM(9327,4708) = ( 9327 × 4708 ) / 1
LCM(9327,4708) = 43911516 / 1
LCM(9327,4708) = 43911516
Lets's calculate GCF of 27,672
3 | 27, 672 |
9, 224 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43911516/3
Therefore the LCM of Fractions 9327/27,4708/672 is 14637172
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 27,672 . The biggest common factor number is the GCF number.
So the greatest common factor 27,672 is 3.
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 9327/27, 4708/672?
Answer: LCM of Numerators as per given numbers 9327/27, 4708/672 is
LCM of Numerators i.e. for 9327,4708 is 43911516
GCF of denominators i.e. for 27,672 is 3.
Thus, LCM of Fractions is 14637172.Finally, LCM of Fractions for 9327/27, 4708/672 is 14637172.