Least Common Multiple of 2843/454, 7691/3112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2843/454, 7691/3112 quickly i.e. 21865513/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2843/454, 7691/3112 is 21865513/2.

LCM(2843/454, 7691/3112) = 21865513/2

LCM of 2843/454, 7691/3112

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 2843/454,7691/3112

Given numbers are 2843/454,7691/3112

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 2843,7691

Least Common Multiple of Numerators i.e. LCM of 2843,7691 is 21865513.

GCF of Denominators means GCF of 454,3112 as per the given fractions.

GCF of 454,3112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2843,7691

LCM of Fractions 2843/454,7691/3112 is 21865513/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 21865513

Least Common Multiple of 2843,7691 with GCF Formula

Least Common Multiple of 2843,7691 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 2843,7691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2843,7691) = 1

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

GCF(2843,7691) x common factors =1 x 1 = 1

LCM(2843,7691) = ( 2843 × 7691 ) / 1

LCM(2843,7691) = 21865513 / 1

LCM(2843,7691) = 21865513


Lets's calculate GCF of 454,3112

2 454, 3112
227, 1556

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21865513/2

Therefore the LCM of Fractions 2843/454,7691/3112 is 21865513/2

Greatest Common Factor of 454,3112 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,3112 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1,2,4,8,389,778,1556,3112

Greatest Common Factor

We found the factors 454,3112 . The biggest common factor number is the GCF number.
So the greatest common factor 454,3112 is 2.


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 2843/454, 7691/3112

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 2843/454, 7691/3112?

Answer: LCM of Numerators as per given numbers 2843/454, 7691/3112 is

LCM of Numerators i.e. for 2843,7691 is 21865513

GCF of denominators i.e. for 454,3112 is 2.

Thus, LCM of Fractions is 21865513/2.Finally, LCM of Fractions for 2843/454, 7691/3112 is 21865513/2.