Least Common Multiple of 9981/958, 4269/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9981/958, 4269/944 quickly i.e. 14202963/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9981/958, 4269/944 is 14202963/2.

LCM(9981/958, 4269/944) = 14202963/2

LCM of 9981/958, 4269/944

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 9981/958,4269/944

Given numbers are 9981/958,4269/944

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 9981,4269

Least Common Multiple of Numerators i.e. LCM of 9981,4269 is 14202963.

GCF of Denominators means GCF of 958,944 as per the given fractions.

GCF of 958,944 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9981,4269

LCM of Fractions 9981/958,4269/944 is 14202963/2

3 9981, 4269
3327, 1423

∴ So the LCM of the given numbers is 3 x 3327 x 1423 = 14202963

Least Common Multiple of 9981,4269 with GCF Formula

Least Common Multiple of 9981,4269 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 9981,4269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9981,4269) = 3

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

GCF(9981,4269) x common factors =3 x 1 = 3

LCM(9981,4269) = ( 9981 × 4269 ) / 3

LCM(9981,4269) = 42608889 / 3

LCM(9981,4269) = 14202963


Lets's calculate GCF of 958,944

2 958, 944
479, 472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14202963/2

Therefore the LCM of Fractions 9981/958,4269/944 is 14202963/2

Greatest Common Factor of 958,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,944 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 958,944 . The biggest common factor number is the GCF number.
So the greatest common factor 958,944 is 2.


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Frequently Asked Questions on Fractional LCM of 9981/958, 4269/944

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 9981/958, 4269/944?

Answer: LCM of Numerators as per given numbers 9981/958, 4269/944 is

LCM of Numerators i.e. for 9981,4269 is 14202963

GCF of denominators i.e. for 958,944 is 2.

Thus, LCM of Fractions is 14202963/2.Finally, LCM of Fractions for 9981/958, 4269/944 is 14202963/2.