Least Common Multiple of 4823/675, 8428/4736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4823/675, 8428/4736 quickly i.e. 5806892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4823/675, 8428/4736 is 5806892.

LCM(4823/675, 8428/4736) = 5806892

LCM of 4823/675, 8428/4736

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 4823/675,8428/4736

Given numbers are 4823/675,8428/4736

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 4823,8428

Least Common Multiple of Numerators i.e. LCM of 4823,8428 is 5806892.

GCF of Denominators means GCF of 675,4736 as per the given fractions.

GCF of 675,4736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4823,8428

LCM of Fractions 4823/675,8428/4736 is 5806892

7 4823, 8428
689, 1204

∴ So the LCM of the given numbers is 7 x 689 x 1204 = 5806892

Least Common Multiple of 4823,8428 with GCF Formula

Least Common Multiple of 4823,8428 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 4823,8428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4823,8428) = 7

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

GCF(4823,8428) x common factors =7 x 1 = 7

LCM(4823,8428) = ( 4823 × 8428 ) / 7

LCM(4823,8428) = 40648244 / 7

LCM(4823,8428) = 5806892


Lets's calculate GCF of 675,4736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5806892/1

Therefore the LCM of Fractions 4823/675,8428/4736 is 5806892

Greatest Common Factor of 675,4736 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,4736 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736

Greatest Common Factor

We found the factors 675,4736 . The biggest common factor number is the GCF number.
So the greatest common factor 675,4736 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 4823/675, 8428/4736

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 4823/675, 8428/4736?

Answer: LCM of Numerators as per given numbers 4823/675, 8428/4736 is

LCM of Numerators i.e. for 4823,8428 is 5806892

GCF of denominators i.e. for 675,4736 is 1.

Thus, LCM of Fractions is 5806892.Finally, LCM of Fractions for 4823/675, 8428/4736 is 5806892.