Least Common Multiple of 303/548, 4325/5744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 303/548, 4325/5744 quickly i.e. 1310475/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 303/548, 4325/5744 is 1310475/4.

LCM(303/548, 4325/5744) = 1310475/4

LCM of 303/548, 4325/5744

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 303/548,4325/5744

Given numbers are 303/548,4325/5744

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 303,4325

Least Common Multiple of Numerators i.e. LCM of 303,4325 is 1310475.

GCF of Denominators means GCF of 548,5744 as per the given fractions.

GCF of 548,5744 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 303,4325

LCM of Fractions 303/548,4325/5744 is 1310475/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1310475

Least Common Multiple of 303,4325 with GCF Formula

Least Common Multiple of 303,4325 with GCF Formula

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 303,4325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,4325) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(303,4325) x common factors =1 x 1 = 1

LCM(303,4325) = ( 303 × 4325 ) / 1

LCM(303,4325) = 1310475 / 1

LCM(303,4325) = 1310475


Lets's calculate GCF of 548,5744

2 548, 5744
2 274, 2872
137, 1436

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1310475/4

Therefore the LCM of Fractions 303/548,4325/5744 is 1310475/4

Greatest Common Factor of 548,5744 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,5744 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 5744

List of positive integer factors of 5744 that divides 5744 without a remainder.

1,2,4,8,16,359,718,1436,2872,5744

Greatest Common Factor

We found the factors 548,5744 . The biggest common factor number is the GCF number.
So the greatest common factor 548,5744 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 303/548, 4325/5744

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 303/548, 4325/5744?

Answer: LCM of Numerators as per given numbers 303/548, 4325/5744 is

LCM of Numerators i.e. for 303,4325 is 1310475

GCF of denominators i.e. for 548,5744 is 4.

Thus, LCM of Fractions is 1310475/4.Finally, LCM of Fractions for 303/548, 4325/5744 is 1310475/4.