Least Common Multiple of 3321/539, 5469/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3321/539, 5469/693 quickly i.e. 6054183/77 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3321/539, 5469/693 is 6054183/77.

LCM(3321/539, 5469/693) = 6054183/77

LCM of 3321/539, 5469/693

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 3321/539,5469/693

Given numbers are 3321/539,5469/693

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 3321,5469

Least Common Multiple of Numerators i.e. LCM of 3321,5469 is 6054183.

GCF of Denominators means GCF of 539,693 as per the given fractions.

GCF of 539,693 is 77 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3321,5469

LCM of Fractions 3321/539,5469/693 is 6054183/77

3 3321, 5469
1107, 1823

∴ So the LCM of the given numbers is 3 x 1107 x 1823 = 6054183

Least Common Multiple of 3321,5469 with GCF Formula

Least Common Multiple of 3321,5469 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 3321,5469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3321,5469) = 3

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

GCF(3321,5469) x common factors =3 x 1 = 3

LCM(3321,5469) = ( 3321 × 5469 ) / 3

LCM(3321,5469) = 18162549 / 3

LCM(3321,5469) = 6054183


Lets's calculate GCF of 539,693

7 539, 693
11 77, 99
7, 9

∴ So the GCF of the given numbers is 7 x 11 = 77

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6054183/77

Therefore the LCM of Fractions 3321/539,5469/693 is 6054183/77

Greatest Common Factor of 539,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,693 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 539,693 . The biggest common factor number is the GCF number.
So the greatest common factor 539,693 is 77.


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 3321/539, 5469/693

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 3321/539, 5469/693?

Answer: LCM of Numerators as per given numbers 3321/539, 5469/693 is

LCM of Numerators i.e. for 3321,5469 is 6054183

GCF of denominators i.e. for 539,693 is 77.

Thus, LCM of Fractions is 6054183/77.Finally, LCM of Fractions for 3321/539, 5469/693 is 6054183/77.