Least Common Multiple of 2736/249, 5393/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2736/249, 5393/300 quickly i.e. 4918416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2736/249, 5393/300 is 4918416.

LCM(2736/249, 5393/300) = 4918416

LCM of 2736/249, 5393/300

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 2736/249,5393/300

Given numbers are 2736/249,5393/300

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 2736,5393

Least Common Multiple of Numerators i.e. LCM of 2736,5393 is 14755248.

GCF of Denominators means GCF of 249,300 as per the given fractions.

GCF of 249,300 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2736,5393

LCM of Fractions 2736/249,5393/300 is 4918416

Given numbers has no common factors except 1. So, there LCM is their product i.e 14755248

Least Common Multiple of 2736,5393 with GCF Formula

Least Common Multiple of 2736,5393 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 2736,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2736,5393) = 1

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

GCF(2736,5393) x common factors =1 x 1 = 1

LCM(2736,5393) = ( 2736 × 5393 ) / 1

LCM(2736,5393) = 14755248 / 1

LCM(2736,5393) = 14755248


Lets's calculate GCF of 249,300

3 249, 300
83, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14755248/3

Therefore the LCM of Fractions 2736/249,5393/300 is 4918416

Greatest Common Factor of 249,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,300 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

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

Greatest Common Factor

We found the factors 249,300 . The biggest common factor number is the GCF number.
So the greatest common factor 249,300 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 2736/249, 5393/300

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 2736/249, 5393/300?

Answer: LCM of Numerators as per given numbers 2736/249, 5393/300 is

LCM of Numerators i.e. for 2736,5393 is 14755248

GCF of denominators i.e. for 249,300 is 3.

Thus, LCM of Fractions is 4918416.Finally, LCM of Fractions for 2736/249, 5393/300 is 4918416.