Least Common Multiple of 269/549, 489/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/549, 489/334 quickly i.e. 131541 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/549, 489/334 is 131541.

LCM(269/549, 489/334) = 131541

LCM of 269/549, 489/334

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 269/549,489/334

Given numbers are 269/549,489/334

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 269,489

Least Common Multiple of Numerators i.e. LCM of 269,489 is 131541.

GCF of Denominators means GCF of 549,334 as per the given fractions.

GCF of 549,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,489

LCM of Fractions 269/549,489/334 is 131541

Given numbers has no common factors except 1. So, there LCM is their product i.e 131541

Least Common Multiple of 269,489 with GCF Formula

Least Common Multiple of 269,489 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 269,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,489) = 1

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

GCF(269,489) x common factors =1 x 1 = 1

LCM(269,489) = ( 269 × 489 ) / 1

LCM(269,489) = 131541 / 1

LCM(269,489) = 131541


Lets's calculate GCF of 549,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131541/1

Therefore the LCM of Fractions 269/549,489/334 is 131541

Greatest Common Factor of 549,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,334 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 549,334 . The biggest common factor number is the GCF number.
So the greatest common factor 549,334 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 269/549, 489/334

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 269/549, 489/334?

Answer: LCM of Numerators as per given numbers 269/549, 489/334 is

LCM of Numerators i.e. for 269,489 is 131541

GCF of denominators i.e. for 549,334 is 1.

Thus, LCM of Fractions is 131541.Finally, LCM of Fractions for 269/549, 489/334 is 131541.