Least Common Multiple of 3144/549, 4721/1015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3144/549, 4721/1015 quickly i.e. 14842824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3144/549, 4721/1015 is 14842824.

LCM(3144/549, 4721/1015) = 14842824

LCM of 3144/549, 4721/1015

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 3144/549,4721/1015

Given numbers are 3144/549,4721/1015

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 3144,4721

Least Common Multiple of Numerators i.e. LCM of 3144,4721 is 14842824.

GCF of Denominators means GCF of 549,1015 as per the given fractions.

GCF of 549,1015 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3144,4721

LCM of Fractions 3144/549,4721/1015 is 14842824

Given numbers has no common factors except 1. So, there LCM is their product i.e 14842824

Least Common Multiple of 3144,4721 with GCF Formula

Least Common Multiple of 3144,4721 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 3144,4721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3144,4721) = 1

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

GCF(3144,4721) x common factors =1 x 1 = 1

LCM(3144,4721) = ( 3144 × 4721 ) / 1

LCM(3144,4721) = 14842824 / 1

LCM(3144,4721) = 14842824


Lets's calculate GCF of 549,1015

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14842824/1

Therefore the LCM of Fractions 3144/549,4721/1015 is 14842824

Greatest Common Factor of 549,1015 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,1015 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 1015

List of positive integer factors of 1015 that divides 1015 without a remainder.

1,5,7,29,35,145,203,1015

Greatest Common Factor

We found the factors 549,1015 . The biggest common factor number is the GCF number.
So the greatest common factor 549,1015 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 3144/549, 4721/1015

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 3144/549, 4721/1015?

Answer: LCM of Numerators as per given numbers 3144/549, 4721/1015 is

LCM of Numerators i.e. for 3144,4721 is 14842824

GCF of denominators i.e. for 549,1015 is 1.

Thus, LCM of Fractions is 14842824.Finally, LCM of Fractions for 3144/549, 4721/1015 is 14842824.