Least Common Multiple of 81/348, 6774/3497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/348, 6774/3497 quickly i.e. 182898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/348, 6774/3497 is 182898.

LCM(81/348, 6774/3497) = 182898

LCM of 81/348, 6774/3497

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 81/348,6774/3497

Given numbers are 81/348,6774/3497

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 81,6774

Least Common Multiple of Numerators i.e. LCM of 81,6774 is 182898.

GCF of Denominators means GCF of 348,3497 as per the given fractions.

GCF of 348,3497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,6774

LCM of Fractions 81/348,6774/3497 is 182898

3 81, 6774
27, 2258

∴ So the LCM of the given numbers is 3 x 27 x 2258 = 182898

Least Common Multiple of 81,6774 with GCF Formula

Least Common Multiple of 81,6774 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 81,6774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,6774) = 3

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

GCF(81,6774) x common factors =3 x 1 = 3

LCM(81,6774) = ( 81 × 6774 ) / 3

LCM(81,6774) = 548694 / 3

LCM(81,6774) = 182898


Lets's calculate GCF of 348,3497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182898/1

Therefore the LCM of Fractions 81/348,6774/3497 is 182898

Greatest Common Factor of 348,3497 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,3497 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1,13,269,3497

Greatest Common Factor

We found the factors 348,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 348,3497 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 81/348, 6774/3497

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 81/348, 6774/3497?

Answer: LCM of Numerators as per given numbers 81/348, 6774/3497 is

LCM of Numerators i.e. for 81,6774 is 182898

GCF of denominators i.e. for 348,3497 is 1.

Thus, LCM of Fractions is 182898.Finally, LCM of Fractions for 81/348, 6774/3497 is 182898.