Least Common Multiple of 39/478, 5454/6723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/478, 5454/6723 quickly i.e. 70902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/478, 5454/6723 is 70902.

LCM(39/478, 5454/6723) = 70902

LCM of 39/478, 5454/6723

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 39/478,5454/6723

Given numbers are 39/478,5454/6723

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 39,5454

Least Common Multiple of Numerators i.e. LCM of 39,5454 is 70902.

GCF of Denominators means GCF of 478,6723 as per the given fractions.

GCF of 478,6723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,5454

LCM of Fractions 39/478,5454/6723 is 70902

3 39, 5454
13, 1818

∴ So the LCM of the given numbers is 3 x 13 x 1818 = 70902

Least Common Multiple of 39,5454 with GCF Formula

Least Common Multiple of 39,5454 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 39,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,5454) = 3

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

GCF(39,5454) x common factors =3 x 1 = 3

LCM(39,5454) = ( 39 × 5454 ) / 3

LCM(39,5454) = 212706 / 3

LCM(39,5454) = 70902


Lets's calculate GCF of 478,6723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70902/1

Therefore the LCM of Fractions 39/478,5454/6723 is 70902

Greatest Common Factor of 478,6723 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,6723 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1,3,9,27,81,83,249,747,2241,6723

Greatest Common Factor

We found the factors 478,6723 . The biggest common factor number is the GCF number.
So the greatest common factor 478,6723 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 39/478, 5454/6723

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 39/478, 5454/6723?

Answer: LCM of Numerators as per given numbers 39/478, 5454/6723 is

LCM of Numerators i.e. for 39,5454 is 70902

GCF of denominators i.e. for 478,6723 is 1.

Thus, LCM of Fractions is 70902.Finally, LCM of Fractions for 39/478, 5454/6723 is 70902.