Least Common Multiple of 6742/286, 1494/2766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6742/286, 1494/2766 quickly i.e. 2518137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6742/286, 1494/2766 is 2518137.

LCM(6742/286, 1494/2766) = 2518137

LCM of 6742/286, 1494/2766

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 6742/286,1494/2766

Given numbers are 6742/286,1494/2766

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 6742,1494

Least Common Multiple of Numerators i.e. LCM of 6742,1494 is 5036274.

GCF of Denominators means GCF of 286,2766 as per the given fractions.

GCF of 286,2766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6742,1494

LCM of Fractions 6742/286,1494/2766 is 2518137

2 6742, 1494
3371, 747

∴ So the LCM of the given numbers is 2 x 3371 x 747 = 5036274

Least Common Multiple of 6742,1494 with GCF Formula

Least Common Multiple of 6742,1494 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 6742,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6742,1494) = 2

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

GCF(6742,1494) x common factors =2 x 1 = 2

LCM(6742,1494) = ( 6742 × 1494 ) / 2

LCM(6742,1494) = 10072548 / 2

LCM(6742,1494) = 5036274


Lets's calculate GCF of 286,2766

2 286, 2766
143, 1383

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5036274/2

Therefore the LCM of Fractions 6742/286,1494/2766 is 2518137

Greatest Common Factor of 286,2766 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,2766 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 286,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 286,2766 is 2.


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 6742/286, 1494/2766

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 6742/286, 1494/2766?

Answer: LCM of Numerators as per given numbers 6742/286, 1494/2766 is

LCM of Numerators i.e. for 6742,1494 is 5036274

GCF of denominators i.e. for 286,2766 is 2.

Thus, LCM of Fractions is 2518137.Finally, LCM of Fractions for 6742/286, 1494/2766 is 2518137.