Least Common Multiple of 2248/819, 4842/4331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2248/819, 4842/4331 quickly i.e. 5442408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2248/819, 4842/4331 is 5442408.

LCM(2248/819, 4842/4331) = 5442408

LCM of 2248/819, 4842/4331

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 2248/819,4842/4331

Given numbers are 2248/819,4842/4331

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 2248,4842

Least Common Multiple of Numerators i.e. LCM of 2248,4842 is 5442408.

GCF of Denominators means GCF of 819,4331 as per the given fractions.

GCF of 819,4331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2248,4842

LCM of Fractions 2248/819,4842/4331 is 5442408

2 2248, 4842
1124, 2421

∴ So the LCM of the given numbers is 2 x 1124 x 2421 = 5442408

Least Common Multiple of 2248,4842 with GCF Formula

Least Common Multiple of 2248,4842 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 2248,4842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2248,4842) = 2

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

GCF(2248,4842) x common factors =2 x 1 = 2

LCM(2248,4842) = ( 2248 × 4842 ) / 2

LCM(2248,4842) = 10884816 / 2

LCM(2248,4842) = 5442408


Lets's calculate GCF of 819,4331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5442408/1

Therefore the LCM of Fractions 2248/819,4842/4331 is 5442408

Greatest Common Factor of 819,4331 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,4331 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 4331

List of positive integer factors of 4331 that divides 4331 without a remainder.

1,61,71,4331

Greatest Common Factor

We found the factors 819,4331 . The biggest common factor number is the GCF number.
So the greatest common factor 819,4331 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 2248/819, 4842/4331

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 2248/819, 4842/4331?

Answer: LCM of Numerators as per given numbers 2248/819, 4842/4331 is

LCM of Numerators i.e. for 2248,4842 is 5442408

GCF of denominators i.e. for 819,4331 is 1.

Thus, LCM of Fractions is 5442408.Finally, LCM of Fractions for 2248/819, 4842/4331 is 5442408.