Least Common Multiple of 54/581, 6867/1321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/581, 6867/1321 quickly i.e. 41202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/581, 6867/1321 is 41202.

LCM(54/581, 6867/1321) = 41202

LCM of 54/581, 6867/1321

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 54/581,6867/1321

Given numbers are 54/581,6867/1321

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 54,6867

Least Common Multiple of Numerators i.e. LCM of 54,6867 is 41202.

GCF of Denominators means GCF of 581,1321 as per the given fractions.

GCF of 581,1321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,6867

LCM of Fractions 54/581,6867/1321 is 41202

3 54, 6867
3 18, 2289
6, 763

∴ So the LCM of the given numbers is 3 x 3 x 6 x 763 = 41202

Least Common Multiple of 54,6867 with GCF Formula

Least Common Multiple of 54,6867 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 54,6867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,6867) = 9

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

GCF(54,6867) x common factors =9 x 1 = 9

LCM(54,6867) = ( 54 × 6867 ) / 9

LCM(54,6867) = 370818 / 9

LCM(54,6867) = 41202


Lets's calculate GCF of 581,1321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41202/1

Therefore the LCM of Fractions 54/581,6867/1321 is 41202

Greatest Common Factor of 581,1321 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,1321 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 1321

List of positive integer factors of 1321 that divides 1321 without a remainder.

1,1321

Greatest Common Factor

We found the factors 581,1321 . The biggest common factor number is the GCF number.
So the greatest common factor 581,1321 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 54/581, 6867/1321

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 54/581, 6867/1321?

Answer: LCM of Numerators as per given numbers 54/581, 6867/1321 is

LCM of Numerators i.e. for 54,6867 is 41202

GCF of denominators i.e. for 581,1321 is 1.

Thus, LCM of Fractions is 41202.Finally, LCM of Fractions for 54/581, 6867/1321 is 41202.