Least Common Multiple of 549/37, 6249/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/37, 6249/491 quickly i.e. 1143567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/37, 6249/491 is 1143567.

LCM(549/37, 6249/491) = 1143567

LCM of 549/37, 6249/491

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 549/37,6249/491

Given numbers are 549/37,6249/491

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 549,6249

Least Common Multiple of Numerators i.e. LCM of 549,6249 is 1143567.

GCF of Denominators means GCF of 37,491 as per the given fractions.

GCF of 37,491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,6249

LCM of Fractions 549/37,6249/491 is 1143567

3 549, 6249
183, 2083

∴ So the LCM of the given numbers is 3 x 183 x 2083 = 1143567

Least Common Multiple of 549,6249 with GCF Formula

Least Common Multiple of 549,6249 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 549,6249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,6249) = 3

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

GCF(549,6249) x common factors =3 x 1 = 3

LCM(549,6249) = ( 549 × 6249 ) / 3

LCM(549,6249) = 3430701 / 3

LCM(549,6249) = 1143567


Lets's calculate GCF of 37,491

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1143567/1

Therefore the LCM of Fractions 549/37,6249/491 is 1143567

Greatest Common Factor of 37,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,491 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 37,491 . The biggest common factor number is the GCF number.
So the greatest common factor 37,491 is 1.


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 549/37, 6249/491

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 549/37, 6249/491?

Answer: LCM of Numerators as per given numbers 549/37, 6249/491 is

LCM of Numerators i.e. for 549,6249 is 1143567

GCF of denominators i.e. for 37,491 is 1.

Thus, LCM of Fractions is 1143567.Finally, LCM of Fractions for 549/37, 6249/491 is 1143567.