Least Common Multiple of 249/57, 256/2196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/57, 256/2196 quickly i.e. 21248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/57, 256/2196 is 21248.

LCM(249/57, 256/2196) = 21248

LCM of 249/57, 256/2196

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 249/57,256/2196

Given numbers are 249/57,256/2196

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 249,256

Least Common Multiple of Numerators i.e. LCM of 249,256 is 63744.

GCF of Denominators means GCF of 57,2196 as per the given fractions.

GCF of 57,2196 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,256

LCM of Fractions 249/57,256/2196 is 21248

Given numbers has no common factors except 1. So, there LCM is their product i.e 63744

Least Common Multiple of 249,256 with GCF Formula

Least Common Multiple of 249,256 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 249,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,256) = 1

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

GCF(249,256) x common factors =1 x 1 = 1

LCM(249,256) = ( 249 × 256 ) / 1

LCM(249,256) = 63744 / 1

LCM(249,256) = 63744


Lets's calculate GCF of 57,2196

3 57, 2196
19, 732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63744/3

Therefore the LCM of Fractions 249/57,256/2196 is 21248

Greatest Common Factor of 57,2196 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,2196 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 2196

List of positive integer factors of 2196 that divides 2196 without a remainder.

1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196

Greatest Common Factor

We found the factors 57,2196 . The biggest common factor number is the GCF number.
So the greatest common factor 57,2196 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 249/57, 256/2196

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 249/57, 256/2196?

Answer: LCM of Numerators as per given numbers 249/57, 256/2196 is

LCM of Numerators i.e. for 249,256 is 63744

GCF of denominators i.e. for 57,2196 is 3.

Thus, LCM of Fractions is 21248.Finally, LCM of Fractions for 249/57, 256/2196 is 21248.