Least Common Multiple of 329/42, 563/2666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/42, 563/2666 quickly i.e. 185227/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/42, 563/2666 is 185227/2.

LCM(329/42, 563/2666) = 185227/2

LCM of 329/42, 563/2666

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 329/42,563/2666

Given numbers are 329/42,563/2666

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 329,563

Least Common Multiple of Numerators i.e. LCM of 329,563 is 185227.

GCF of Denominators means GCF of 42,2666 as per the given fractions.

GCF of 42,2666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,563

LCM of Fractions 329/42,563/2666 is 185227/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 185227

Least Common Multiple of 329,563 with GCF Formula

Least Common Multiple of 329,563 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 329,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,563) = 1

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

GCF(329,563) x common factors =1 x 1 = 1

LCM(329,563) = ( 329 × 563 ) / 1

LCM(329,563) = 185227 / 1

LCM(329,563) = 185227


Lets's calculate GCF of 42,2666

2 42, 2666
21, 1333

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185227/2

Therefore the LCM of Fractions 329/42,563/2666 is 185227/2

Greatest Common Factor of 42,2666 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,2666 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 2666

List of positive integer factors of 2666 that divides 2666 without a remainder.

1,2,31,43,62,86,1333,2666

Greatest Common Factor

We found the factors 42,2666 . The biggest common factor number is the GCF number.
So the greatest common factor 42,2666 is 2.


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 329/42, 563/2666

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 329/42, 563/2666?

Answer: LCM of Numerators as per given numbers 329/42, 563/2666 is

LCM of Numerators i.e. for 329,563 is 185227

GCF of denominators i.e. for 42,2666 is 2.

Thus, LCM of Fractions is 185227/2.Finally, LCM of Fractions for 329/42, 563/2666 is 185227/2.