Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 177/721, 4302/296 quickly i.e. 253818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 177/721, 4302/296 is 253818.
LCM(177/721, 4302/296) = 253818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 177/721,4302/296
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 177,4302
Least Common Multiple of Numerators i.e. LCM of 177,4302 is 253818.
GCF of Denominators means GCF of 721,296 as per the given fractions.
GCF of 721,296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 177,4302
3 | 177, 4302 |
59, 1434 |
∴ So the LCM of the given numbers is 3 x 59 x 1434 = 253818
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 177,4302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,4302) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,4302) x common factors =3 x 1 = 3
LCM(177,4302) = ( 177 × 4302 ) / 3
LCM(177,4302) = 761454 / 3
LCM(177,4302) = 253818
Lets's calculate GCF of 721,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253818/1
Therefore the LCM of Fractions 177/721,4302/296 is 253818
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 721,296 . The biggest common factor number is the GCF number.
So the greatest common factor 721,296 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 177/721, 4302/296?
Answer: LCM of Numerators as per given numbers 177/721, 4302/296 is
LCM of Numerators i.e. for 177,4302 is 253818
GCF of denominators i.e. for 721,296 is 1.
Thus, LCM of Fractions is 253818.Finally, LCM of Fractions for 177/721, 4302/296 is 253818.