Least Common Multiple of 3311/538, 1746/7343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3311/538, 1746/7343 quickly i.e. 5781006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3311/538, 1746/7343 is 5781006.

LCM(3311/538, 1746/7343) = 5781006

LCM of 3311/538, 1746/7343

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 3311/538,1746/7343

Given numbers are 3311/538,1746/7343

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 3311,1746

Least Common Multiple of Numerators i.e. LCM of 3311,1746 is 5781006.

GCF of Denominators means GCF of 538,7343 as per the given fractions.

GCF of 538,7343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3311,1746

LCM of Fractions 3311/538,1746/7343 is 5781006

Given numbers has no common factors except 1. So, there LCM is their product i.e 5781006

Least Common Multiple of 3311,1746 with GCF Formula

Least Common Multiple of 3311,1746 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 3311,1746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3311,1746) = 1

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

GCF(3311,1746) x common factors =1 x 1 = 1

LCM(3311,1746) = ( 3311 × 1746 ) / 1

LCM(3311,1746) = 5781006 / 1

LCM(3311,1746) = 5781006


Lets's calculate GCF of 538,7343

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5781006/1

Therefore the LCM of Fractions 3311/538,1746/7343 is 5781006

Greatest Common Factor of 538,7343 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,7343 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 7343

List of positive integer factors of 7343 that divides 7343 without a remainder.

1,7,1049,7343

Greatest Common Factor

We found the factors 538,7343 . The biggest common factor number is the GCF number.
So the greatest common factor 538,7343 is 1.


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 3311/538, 1746/7343

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 3311/538, 1746/7343?

Answer: LCM of Numerators as per given numbers 3311/538, 1746/7343 is

LCM of Numerators i.e. for 3311,1746 is 5781006

GCF of denominators i.e. for 538,7343 is 1.

Thus, LCM of Fractions is 5781006.Finally, LCM of Fractions for 3311/538, 1746/7343 is 5781006.