Least Common Multiple of 9739/303, 1744/2131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9739/303, 1744/2131 quickly i.e. 16984816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9739/303, 1744/2131 is 16984816.

LCM(9739/303, 1744/2131) = 16984816

LCM of 9739/303, 1744/2131

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 9739/303,1744/2131

Given numbers are 9739/303,1744/2131

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 9739,1744

Least Common Multiple of Numerators i.e. LCM of 9739,1744 is 16984816.

GCF of Denominators means GCF of 303,2131 as per the given fractions.

GCF of 303,2131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9739,1744

LCM of Fractions 9739/303,1744/2131 is 16984816

Given numbers has no common factors except 1. So, there LCM is their product i.e 16984816

Least Common Multiple of 9739,1744 with GCF Formula

Least Common Multiple of 9739,1744 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 9739,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9739,1744) = 1

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

GCF(9739,1744) x common factors =1 x 1 = 1

LCM(9739,1744) = ( 9739 × 1744 ) / 1

LCM(9739,1744) = 16984816 / 1

LCM(9739,1744) = 16984816


Lets's calculate GCF of 303,2131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16984816/1

Therefore the LCM of Fractions 9739/303,1744/2131 is 16984816

Greatest Common Factor of 303,2131 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,2131 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 2131

List of positive integer factors of 2131 that divides 2131 without a remainder.

1,2131

Greatest Common Factor

We found the factors 303,2131 . The biggest common factor number is the GCF number.
So the greatest common factor 303,2131 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9739/303, 1744/2131

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 9739/303, 1744/2131?

Answer: LCM of Numerators as per given numbers 9739/303, 1744/2131 is

LCM of Numerators i.e. for 9739,1744 is 16984816

GCF of denominators i.e. for 303,2131 is 1.

Thus, LCM of Fractions is 16984816.Finally, LCM of Fractions for 9739/303, 1744/2131 is 16984816.