Least Common Multiple of 2714/300, 5643/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2714/300, 5643/711 quickly i.e. 5105034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2714/300, 5643/711 is 5105034.

LCM(2714/300, 5643/711) = 5105034

LCM of 2714/300, 5643/711

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 2714/300,5643/711

Given numbers are 2714/300,5643/711

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 2714,5643

Least Common Multiple of Numerators i.e. LCM of 2714,5643 is 15315102.

GCF of Denominators means GCF of 300,711 as per the given fractions.

GCF of 300,711 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2714,5643

LCM of Fractions 2714/300,5643/711 is 5105034

Given numbers has no common factors except 1. So, there LCM is their product i.e 15315102

Least Common Multiple of 2714,5643 with GCF Formula

Least Common Multiple of 2714,5643 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 2714,5643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2714,5643) = 1

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

GCF(2714,5643) x common factors =1 x 1 = 1

LCM(2714,5643) = ( 2714 × 5643 ) / 1

LCM(2714,5643) = 15315102 / 1

LCM(2714,5643) = 15315102


Lets's calculate GCF of 300,711

3 300, 711
100, 237

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15315102/3

Therefore the LCM of Fractions 2714/300,5643/711 is 5105034

Greatest Common Factor of 300,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,711 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 300,711 . The biggest common factor number is the GCF number.
So the greatest common factor 300,711 is 3.


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 2714/300, 5643/711

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 2714/300, 5643/711?

Answer: LCM of Numerators as per given numbers 2714/300, 5643/711 is

LCM of Numerators i.e. for 2714,5643 is 15315102

GCF of denominators i.e. for 300,711 is 3.

Thus, LCM of Fractions is 5105034.Finally, LCM of Fractions for 2714/300, 5643/711 is 5105034.