Least Common Multiple of 549/11, 237/7843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/11, 237/7843 quickly i.e. 43371/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/11, 237/7843 is 43371/11.

LCM(549/11, 237/7843) = 43371/11

LCM of 549/11, 237/7843

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 549/11,237/7843

Given numbers are 549/11,237/7843

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 549,237

Least Common Multiple of Numerators i.e. LCM of 549,237 is 43371.

GCF of Denominators means GCF of 11,7843 as per the given fractions.

GCF of 11,7843 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,237

LCM of Fractions 549/11,237/7843 is 43371/11

3 549, 237
183, 79

∴ So the LCM of the given numbers is 3 x 183 x 79 = 43371

Least Common Multiple of 549,237 with GCF Formula

Least Common Multiple of 549,237 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 549,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,237) = 3

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

GCF(549,237) x common factors =3 x 1 = 3

LCM(549,237) = ( 549 × 237 ) / 3

LCM(549,237) = 130113 / 3

LCM(549,237) = 43371


Lets's calculate GCF of 11,7843

11 11, 7843
1, 713

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43371/11

Therefore the LCM of Fractions 549/11,237/7843 is 43371/11

Greatest Common Factor of 11,7843 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,7843 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 7843

List of positive integer factors of 7843 that divides 7843 without a remainder.

1,11,23,31,253,341,713,7843

Greatest Common Factor

We found the factors 11,7843 . The biggest common factor number is the GCF number.
So the greatest common factor 11,7843 is 11.


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 549/11, 237/7843

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 549/11, 237/7843?

Answer: LCM of Numerators as per given numbers 549/11, 237/7843 is

LCM of Numerators i.e. for 549,237 is 43371

GCF of denominators i.e. for 11,7843 is 11.

Thus, LCM of Fractions is 43371/11.Finally, LCM of Fractions for 549/11, 237/7843 is 43371/11.