Least Common Multiple of 489/29, 949/8322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/29, 949/8322 quickly i.e. 464061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/29, 949/8322 is 464061.

LCM(489/29, 949/8322) = 464061

LCM of 489/29, 949/8322

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 489/29,949/8322

Given numbers are 489/29,949/8322

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 489,949

Least Common Multiple of Numerators i.e. LCM of 489,949 is 464061.

GCF of Denominators means GCF of 29,8322 as per the given fractions.

GCF of 29,8322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,949

LCM of Fractions 489/29,949/8322 is 464061

Given numbers has no common factors except 1. So, there LCM is their product i.e 464061

Least Common Multiple of 489,949 with GCF Formula

Least Common Multiple of 489,949 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 489,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,949) = 1

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

GCF(489,949) x common factors =1 x 1 = 1

LCM(489,949) = ( 489 × 949 ) / 1

LCM(489,949) = 464061 / 1

LCM(489,949) = 464061


Lets's calculate GCF of 29,8322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464061/1

Therefore the LCM of Fractions 489/29,949/8322 is 464061

Greatest Common Factor of 29,8322 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,8322 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Greatest Common Factor

We found the factors 29,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 29,8322 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 489/29, 949/8322

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 489/29, 949/8322?

Answer: LCM of Numerators as per given numbers 489/29, 949/8322 is

LCM of Numerators i.e. for 489,949 is 464061

GCF of denominators i.e. for 29,8322 is 1.

Thus, LCM of Fractions is 464061.Finally, LCM of Fractions for 489/29, 949/8322 is 464061.