Least Common Multiple of 4305/363, 2993/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4305/363, 2993/671 quickly i.e. 314265/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4305/363, 2993/671 is 314265/11.

LCM(4305/363, 2993/671) = 314265/11

LCM of 4305/363, 2993/671

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 4305/363,2993/671

Given numbers are 4305/363,2993/671

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 4305,2993

Least Common Multiple of Numerators i.e. LCM of 4305,2993 is 314265.

GCF of Denominators means GCF of 363,671 as per the given fractions.

GCF of 363,671 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4305,2993

LCM of Fractions 4305/363,2993/671 is 314265/11

41 4305, 2993
105, 73

∴ So the LCM of the given numbers is 41 x 105 x 73 = 314265

Least Common Multiple of 4305,2993 with GCF Formula

Least Common Multiple of 4305,2993 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 4305,2993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4305,2993) = 41

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

GCF(4305,2993) x common factors =41 x 1 = 41

LCM(4305,2993) = ( 4305 × 2993 ) / 41

LCM(4305,2993) = 12884865 / 41

LCM(4305,2993) = 314265


Lets's calculate GCF of 363,671

11 363, 671
33, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314265/11

Therefore the LCM of Fractions 4305/363,2993/671 is 314265/11

Greatest Common Factor of 363,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,671 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 363,671 . The biggest common factor number is the GCF number.
So the greatest common factor 363,671 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 4305/363, 2993/671

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 4305/363, 2993/671?

Answer: LCM of Numerators as per given numbers 4305/363, 2993/671 is

LCM of Numerators i.e. for 4305,2993 is 314265

GCF of denominators i.e. for 363,671 is 11.

Thus, LCM of Fractions is 314265/11.Finally, LCM of Fractions for 4305/363, 2993/671 is 314265/11.