Least Common Multiple of 6039/735, 2839/2280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6039/735, 2839/2280 quickly i.e. 17144721/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6039/735, 2839/2280 is 17144721/15.

LCM(6039/735, 2839/2280) = 17144721/15

LCM of 6039/735, 2839/2280

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 6039/735,2839/2280

Given numbers are 6039/735,2839/2280

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 6039,2839

Least Common Multiple of Numerators i.e. LCM of 6039,2839 is 17144721.

GCF of Denominators means GCF of 735,2280 as per the given fractions.

GCF of 735,2280 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6039,2839

LCM of Fractions 6039/735,2839/2280 is 17144721/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 17144721

Least Common Multiple of 6039,2839 with GCF Formula

Least Common Multiple of 6039,2839 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 6039,2839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6039,2839) = 1

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

GCF(6039,2839) x common factors =1 x 1 = 1

LCM(6039,2839) = ( 6039 × 2839 ) / 1

LCM(6039,2839) = 17144721 / 1

LCM(6039,2839) = 17144721


Lets's calculate GCF of 735,2280

3 735, 2280
5 245, 760
49, 152

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17144721/15

Therefore the LCM of Fractions 6039/735,2839/2280 is 17144721/15

Greatest Common Factor of 735,2280 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,2280 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Greatest Common Factor

We found the factors 735,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 735,2280 is 15.


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 6039/735, 2839/2280

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 6039/735, 2839/2280?

Answer: LCM of Numerators as per given numbers 6039/735, 2839/2280 is

LCM of Numerators i.e. for 6039,2839 is 17144721

GCF of denominators i.e. for 735,2280 is 15.

Thus, LCM of Fractions is 17144721/15.Finally, LCM of Fractions for 6039/735, 2839/2280 is 17144721/15.