Least Common Multiple of 719/241, 3214/4442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 719/241, 3214/4442 quickly i.e. 2310866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/241, 3214/4442 is 2310866.

LCM(719/241, 3214/4442) = 2310866

LCM of 719/241, 3214/4442

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 719/241,3214/4442

Given numbers are 719/241,3214/4442

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 719,3214

Least Common Multiple of Numerators i.e. LCM of 719,3214 is 2310866.

GCF of Denominators means GCF of 241,4442 as per the given fractions.

GCF of 241,4442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,3214

LCM of Fractions 719/241,3214/4442 is 2310866

Given numbers has no common factors except 1. So, there LCM is their product i.e 2310866

Least Common Multiple of 719,3214 with GCF Formula

Least Common Multiple of 719,3214 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 719,3214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,3214) = 1

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

GCF(719,3214) x common factors =1 x 1 = 1

LCM(719,3214) = ( 719 × 3214 ) / 1

LCM(719,3214) = 2310866 / 1

LCM(719,3214) = 2310866


Lets's calculate GCF of 241,4442

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2310866/1

Therefore the LCM of Fractions 719/241,3214/4442 is 2310866

Greatest Common Factor of 241,4442 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,4442 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 4442

List of positive integer factors of 4442 that divides 4442 without a remainder.

1,2,2221,4442

Greatest Common Factor

We found the factors 241,4442 . The biggest common factor number is the GCF number.
So the greatest common factor 241,4442 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 719/241, 3214/4442

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 719/241, 3214/4442?

Answer: LCM of Numerators as per given numbers 719/241, 3214/4442 is

LCM of Numerators i.e. for 719,3214 is 2310866

GCF of denominators i.e. for 241,4442 is 1.

Thus, LCM of Fractions is 2310866.Finally, LCM of Fractions for 719/241, 3214/4442 is 2310866.