Least Common Multiple of 3681/339, 3980/1095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3681/339, 3980/1095 quickly i.e. 4883460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3681/339, 3980/1095 is 4883460.

LCM(3681/339, 3980/1095) = 4883460

LCM of 3681/339, 3980/1095

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 3681/339,3980/1095

Given numbers are 3681/339,3980/1095

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 3681,3980

Least Common Multiple of Numerators i.e. LCM of 3681,3980 is 14650380.

GCF of Denominators means GCF of 339,1095 as per the given fractions.

GCF of 339,1095 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3681,3980

LCM of Fractions 3681/339,3980/1095 is 4883460

Given numbers has no common factors except 1. So, there LCM is their product i.e 14650380

Least Common Multiple of 3681,3980 with GCF Formula

Least Common Multiple of 3681,3980 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 3681,3980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3681,3980) = 1

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

GCF(3681,3980) x common factors =1 x 1 = 1

LCM(3681,3980) = ( 3681 × 3980 ) / 1

LCM(3681,3980) = 14650380 / 1

LCM(3681,3980) = 14650380


Lets's calculate GCF of 339,1095

3 339, 1095
113, 365

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14650380/3

Therefore the LCM of Fractions 3681/339,3980/1095 is 4883460

Greatest Common Factor of 339,1095 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,1095 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

Greatest Common Factor

We found the factors 339,1095 . The biggest common factor number is the GCF number.
So the greatest common factor 339,1095 is 3.


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 3681/339, 3980/1095

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 3681/339, 3980/1095?

Answer: LCM of Numerators as per given numbers 3681/339, 3980/1095 is

LCM of Numerators i.e. for 3681,3980 is 14650380

GCF of denominators i.e. for 339,1095 is 3.

Thus, LCM of Fractions is 4883460.Finally, LCM of Fractions for 3681/339, 3980/1095 is 4883460.