Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9153/14, 9704/347 quickly i.e. 88820712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9153/14, 9704/347 is 88820712.
LCM(9153/14, 9704/347) = 88820712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9153/14,9704/347
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 9153,9704
Least Common Multiple of Numerators i.e. LCM of 9153,9704 is 88820712.
GCF of Denominators means GCF of 14,347 as per the given fractions.
GCF of 14,347 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9153,9704
Given numbers has no common factors except 1. So, there LCM is their product i.e 88820712
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 9153,9704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9153,9704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9153,9704) x common factors =1 x 1 = 1
LCM(9153,9704) = ( 9153 × 9704 ) / 1
LCM(9153,9704) = 88820712 / 1
LCM(9153,9704) = 88820712
Lets's calculate GCF of 14,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88820712/1
Therefore the LCM of Fractions 9153/14,9704/347 is 88820712
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Greatest Common Factor
We found the factors 14,347 . The biggest common factor number is the GCF number.
So the greatest common factor 14,347 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 9153/14, 9704/347?
Answer: LCM of Numerators as per given numbers 9153/14, 9704/347 is
LCM of Numerators i.e. for 9153,9704 is 88820712
GCF of denominators i.e. for 14,347 is 1.
Thus, LCM of Fractions is 88820712.Finally, LCM of Fractions for 9153/14, 9704/347 is 88820712.