Least Common Multiple of 2008/824, 9359/4745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2008/824, 9359/4745 quickly i.e. 18792872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2008/824, 9359/4745 is 18792872.

LCM(2008/824, 9359/4745) = 18792872

LCM of 2008/824, 9359/4745

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 2008/824,9359/4745

Given numbers are 2008/824,9359/4745

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 2008,9359

Least Common Multiple of Numerators i.e. LCM of 2008,9359 is 18792872.

GCF of Denominators means GCF of 824,4745 as per the given fractions.

GCF of 824,4745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2008,9359

LCM of Fractions 2008/824,9359/4745 is 18792872

Given numbers has no common factors except 1. So, there LCM is their product i.e 18792872

Least Common Multiple of 2008,9359 with GCF Formula

Least Common Multiple of 2008,9359 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 2008,9359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2008,9359) = 1

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

GCF(2008,9359) x common factors =1 x 1 = 1

LCM(2008,9359) = ( 2008 × 9359 ) / 1

LCM(2008,9359) = 18792872 / 1

LCM(2008,9359) = 18792872


Lets's calculate GCF of 824,4745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18792872/1

Therefore the LCM of Fractions 2008/824,9359/4745 is 18792872

Greatest Common Factor of 824,4745 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,4745 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1,5,13,65,73,365,949,4745

Greatest Common Factor

We found the factors 824,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 824,4745 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 2008/824, 9359/4745

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 2008/824, 9359/4745?

Answer: LCM of Numerators as per given numbers 2008/824, 9359/4745 is

LCM of Numerators i.e. for 2008,9359 is 18792872

GCF of denominators i.e. for 824,4745 is 1.

Thus, LCM of Fractions is 18792872.Finally, LCM of Fractions for 2008/824, 9359/4745 is 18792872.