Least Common Multiple of 269/20, 3334/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 269/20, 3334/982 quickly i.e. 448423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/20, 3334/982 is 448423.

LCM(269/20, 3334/982) = 448423

LCM of 269/20, 3334/982

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 269/20,3334/982

Given numbers are 269/20,3334/982

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 269,3334

Least Common Multiple of Numerators i.e. LCM of 269,3334 is 896846.

GCF of Denominators means GCF of 20,982 as per the given fractions.

GCF of 20,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,3334

LCM of Fractions 269/20,3334/982 is 448423

Given numbers has no common factors except 1. So, there LCM is their product i.e 896846

Least Common Multiple of 269,3334 with GCF Formula

Least Common Multiple of 269,3334 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 269,3334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,3334) = 1

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

GCF(269,3334) x common factors =1 x 1 = 1

LCM(269,3334) = ( 269 × 3334 ) / 1

LCM(269,3334) = 896846 / 1

LCM(269,3334) = 896846


Lets's calculate GCF of 20,982

2 20, 982
10, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896846/2

Therefore the LCM of Fractions 269/20,3334/982 is 448423

Greatest Common Factor of 20,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,982 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 20,982 . The biggest common factor number is the GCF number.
So the greatest common factor 20,982 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 269/20, 3334/982

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 269/20, 3334/982?

Answer: LCM of Numerators as per given numbers 269/20, 3334/982 is

LCM of Numerators i.e. for 269,3334 is 896846

GCF of denominators i.e. for 20,982 is 2.

Thus, LCM of Fractions is 448423.Finally, LCM of Fractions for 269/20, 3334/982 is 448423.