Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3952/42, 3273/745 quickly i.e. 12934896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3952/42, 3273/745 is 12934896.
LCM(3952/42, 3273/745) = 12934896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3952/42,3273/745
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 3952,3273
Least Common Multiple of Numerators i.e. LCM of 3952,3273 is 12934896.
GCF of Denominators means GCF of 42,745 as per the given fractions.
GCF of 42,745 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3952,3273
Given numbers has no common factors except 1. So, there LCM is their product i.e 12934896
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 3952,3273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3952,3273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3952,3273) x common factors =1 x 1 = 1
LCM(3952,3273) = ( 3952 × 3273 ) / 1
LCM(3952,3273) = 12934896 / 1
LCM(3952,3273) = 12934896
Lets's calculate GCF of 42,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12934896/1
Therefore the LCM of Fractions 3952/42,3273/745 is 12934896
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 42,745 . The biggest common factor number is the GCF number.
So the greatest common factor 42,745 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 3952/42, 3273/745?
Answer: LCM of Numerators as per given numbers 3952/42, 3273/745 is
LCM of Numerators i.e. for 3952,3273 is 12934896
GCF of denominators i.e. for 42,745 is 1.
Thus, LCM of Fractions is 12934896.Finally, LCM of Fractions for 3952/42, 3273/745 is 12934896.