Least Common Multiple of 6721/548, 2295/1238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6721/548, 2295/1238 quickly i.e. 15424695/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6721/548, 2295/1238 is 15424695/2.

LCM(6721/548, 2295/1238) = 15424695/2

LCM of 6721/548, 2295/1238

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 6721/548,2295/1238

Given numbers are 6721/548,2295/1238

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 6721,2295

Least Common Multiple of Numerators i.e. LCM of 6721,2295 is 15424695.

GCF of Denominators means GCF of 548,1238 as per the given fractions.

GCF of 548,1238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6721,2295

LCM of Fractions 6721/548,2295/1238 is 15424695/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 15424695

Least Common Multiple of 6721,2295 with GCF Formula

Least Common Multiple of 6721,2295 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 6721,2295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6721,2295) = 1

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

GCF(6721,2295) x common factors =1 x 1 = 1

LCM(6721,2295) = ( 6721 × 2295 ) / 1

LCM(6721,2295) = 15424695 / 1

LCM(6721,2295) = 15424695


Lets's calculate GCF of 548,1238

2 548, 1238
274, 619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15424695/2

Therefore the LCM of Fractions 6721/548,2295/1238 is 15424695/2

Greatest Common Factor of 548,1238 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,1238 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 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1,2,619,1238

Greatest Common Factor

We found the factors 548,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 548,1238 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6721/548, 2295/1238

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 6721/548, 2295/1238?

Answer: LCM of Numerators as per given numbers 6721/548, 2295/1238 is

LCM of Numerators i.e. for 6721,2295 is 15424695

GCF of denominators i.e. for 548,1238 is 2.

Thus, LCM of Fractions is 15424695/2.Finally, LCM of Fractions for 6721/548, 2295/1238 is 15424695/2.