Least Common Multiple of 279/546, 4355/6045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/546, 4355/6045 quickly i.e. 31155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/546, 4355/6045 is 31155.

LCM(279/546, 4355/6045) = 31155

LCM of 279/546, 4355/6045

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 279/546,4355/6045

Given numbers are 279/546,4355/6045

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 279,4355

Least Common Multiple of Numerators i.e. LCM of 279,4355 is 1215045.

GCF of Denominators means GCF of 546,6045 as per the given fractions.

GCF of 546,6045 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,4355

LCM of Fractions 279/546,4355/6045 is 31155

Given numbers has no common factors except 1. So, there LCM is their product i.e 1215045

Least Common Multiple of 279,4355 with GCF Formula

Least Common Multiple of 279,4355 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 279,4355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,4355) = 1

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

GCF(279,4355) x common factors =1 x 1 = 1

LCM(279,4355) = ( 279 × 4355 ) / 1

LCM(279,4355) = 1215045 / 1

LCM(279,4355) = 1215045


Lets's calculate GCF of 546,6045

3 546, 6045
13 182, 2015
14, 155

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1215045/39

Therefore the LCM of Fractions 279/546,4355/6045 is 31155

Greatest Common Factor of 546,6045 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,6045 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Greatest Common Factor

We found the factors 546,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 546,6045 is 39.


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 279/546, 4355/6045

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 279/546, 4355/6045?

Answer: LCM of Numerators as per given numbers 279/546, 4355/6045 is

LCM of Numerators i.e. for 279,4355 is 1215045

GCF of denominators i.e. for 546,6045 is 39.

Thus, LCM of Fractions is 31155.Finally, LCM of Fractions for 279/546, 4355/6045 is 31155.