Least Common Multiple of 5424/848, 9358/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5424/848, 9358/789 quickly i.e. 25378896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5424/848, 9358/789 is 25378896.

LCM(5424/848, 9358/789) = 25378896

LCM of 5424/848, 9358/789

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 5424/848,9358/789

Given numbers are 5424/848,9358/789

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 5424,9358

Least Common Multiple of Numerators i.e. LCM of 5424,9358 is 25378896.

GCF of Denominators means GCF of 848,789 as per the given fractions.

GCF of 848,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5424,9358

LCM of Fractions 5424/848,9358/789 is 25378896

2 5424, 9358
2712, 4679

∴ So the LCM of the given numbers is 2 x 2712 x 4679 = 25378896

Least Common Multiple of 5424,9358 with GCF Formula

Least Common Multiple of 5424,9358 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 5424,9358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5424,9358) = 2

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

GCF(5424,9358) x common factors =2 x 1 = 2

LCM(5424,9358) = ( 5424 × 9358 ) / 2

LCM(5424,9358) = 50757792 / 2

LCM(5424,9358) = 25378896


Lets's calculate GCF of 848,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25378896/1

Therefore the LCM of Fractions 5424/848,9358/789 is 25378896

Greatest Common Factor of 848,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,789 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 848,789 . The biggest common factor number is the GCF number.
So the greatest common factor 848,789 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5424/848, 9358/789

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 5424/848, 9358/789?

Answer: LCM of Numerators as per given numbers 5424/848, 9358/789 is

LCM of Numerators i.e. for 5424,9358 is 25378896

GCF of denominators i.e. for 848,789 is 1.

Thus, LCM of Fractions is 25378896.Finally, LCM of Fractions for 5424/848, 9358/789 is 25378896.