Least Common Multiple of 469/39, 677/4809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/39, 677/4809 quickly i.e. 317513/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/39, 677/4809 is 317513/3.

LCM(469/39, 677/4809) = 317513/3

LCM of 469/39, 677/4809

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 469/39,677/4809

Given numbers are 469/39,677/4809

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 469,677

Least Common Multiple of Numerators i.e. LCM of 469,677 is 317513.

GCF of Denominators means GCF of 39,4809 as per the given fractions.

GCF of 39,4809 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,677

LCM of Fractions 469/39,677/4809 is 317513/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 317513

Least Common Multiple of 469,677 with GCF Formula

Least Common Multiple of 469,677 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 469,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,677) = 1

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

GCF(469,677) x common factors =1 x 1 = 1

LCM(469,677) = ( 469 × 677 ) / 1

LCM(469,677) = 317513 / 1

LCM(469,677) = 317513


Lets's calculate GCF of 39,4809

3 39, 4809
13, 1603

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317513/3

Therefore the LCM of Fractions 469/39,677/4809 is 317513/3

Greatest Common Factor of 39,4809 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,4809 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1,3,7,21,229,687,1603,4809

Greatest Common Factor

We found the factors 39,4809 . The biggest common factor number is the GCF number.
So the greatest common factor 39,4809 is 3.


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 469/39, 677/4809

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 469/39, 677/4809?

Answer: LCM of Numerators as per given numbers 469/39, 677/4809 is

LCM of Numerators i.e. for 469,677 is 317513

GCF of denominators i.e. for 39,4809 is 3.

Thus, LCM of Fractions is 317513/3.Finally, LCM of Fractions for 469/39, 677/4809 is 317513/3.