Least Common Multiple of 3311/104, 3165/2014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3311/104, 3165/2014 quickly i.e. 10479315/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3311/104, 3165/2014 is 10479315/2.

LCM(3311/104, 3165/2014) = 10479315/2

LCM of 3311/104, 3165/2014

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 3311/104,3165/2014

Given numbers are 3311/104,3165/2014

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 3311,3165

Least Common Multiple of Numerators i.e. LCM of 3311,3165 is 10479315.

GCF of Denominators means GCF of 104,2014 as per the given fractions.

GCF of 104,2014 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3311,3165

LCM of Fractions 3311/104,3165/2014 is 10479315/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 10479315

Least Common Multiple of 3311,3165 with GCF Formula

Least Common Multiple of 3311,3165 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 3311,3165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3311,3165) = 1

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

GCF(3311,3165) x common factors =1 x 1 = 1

LCM(3311,3165) = ( 3311 × 3165 ) / 1

LCM(3311,3165) = 10479315 / 1

LCM(3311,3165) = 10479315


Lets's calculate GCF of 104,2014

2 104, 2014
52, 1007

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10479315/2

Therefore the LCM of Fractions 3311/104,3165/2014 is 10479315/2

Greatest Common Factor of 104,2014 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,2014 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 2014

List of positive integer factors of 2014 that divides 2014 without a remainder.

1,2,19,38,53,106,1007,2014

Greatest Common Factor

We found the factors 104,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 104,2014 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 3311/104, 3165/2014

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 3311/104, 3165/2014?

Answer: LCM of Numerators as per given numbers 3311/104, 3165/2014 is

LCM of Numerators i.e. for 3311,3165 is 10479315

GCF of denominators i.e. for 104,2014 is 2.

Thus, LCM of Fractions is 10479315/2.Finally, LCM of Fractions for 3311/104, 3165/2014 is 10479315/2.