Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/296, 7694/4639 quickly i.e. 561662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/296, 7694/4639 is 561662.
LCM(73/296, 7694/4639) = 561662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/296,7694/4639
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 73,7694
Least Common Multiple of Numerators i.e. LCM of 73,7694 is 561662.
GCF of Denominators means GCF of 296,4639 as per the given fractions.
GCF of 296,4639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,7694
Given numbers has no common factors except 1. So, there LCM is their product i.e 561662
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 73,7694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,7694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,7694) x common factors =1 x 1 = 1
LCM(73,7694) = ( 73 × 7694 ) / 1
LCM(73,7694) = 561662 / 1
LCM(73,7694) = 561662
Lets's calculate GCF of 296,4639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561662/1
Therefore the LCM of Fractions 73/296,7694/4639 is 561662
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 4639
List of positive integer factors of 4639 that divides 4639 without a remainder.
1,4639
Greatest Common Factor
We found the factors 296,4639 . The biggest common factor number is the GCF number.
So the greatest common factor 296,4639 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 73/296, 7694/4639?
Answer: LCM of Numerators as per given numbers 73/296, 7694/4639 is
LCM of Numerators i.e. for 73,7694 is 561662
GCF of denominators i.e. for 296,4639 is 1.
Thus, LCM of Fractions is 561662.Finally, LCM of Fractions for 73/296, 7694/4639 is 561662.