Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 673/97, 327/6948 quickly i.e. 220071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 673/97, 327/6948 is 220071.
LCM(673/97, 327/6948) = 220071
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 673/97,327/6948
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 673,327
Least Common Multiple of Numerators i.e. LCM of 673,327 is 220071.
GCF of Denominators means GCF of 97,6948 as per the given fractions.
GCF of 97,6948 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 673,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 220071
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 673,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,327) x common factors =1 x 1 = 1
LCM(673,327) = ( 673 × 327 ) / 1
LCM(673,327) = 220071 / 1
LCM(673,327) = 220071
Lets's calculate GCF of 97,6948
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220071/1
Therefore the LCM of Fractions 673/97,327/6948 is 220071
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 6948
List of positive integer factors of 6948 that divides 6948 without a remainder.
1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948
Greatest Common Factor
We found the factors 97,6948 . The biggest common factor number is the GCF number.
So the greatest common factor 97,6948 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 673/97, 327/6948?
Answer: LCM of Numerators as per given numbers 673/97, 327/6948 is
LCM of Numerators i.e. for 673,327 is 220071
GCF of denominators i.e. for 97,6948 is 1.
Thus, LCM of Fractions is 220071.Finally, LCM of Fractions for 673/97, 327/6948 is 220071.